diff --git a/doc/source/whatsnew/v0.24.0.txt b/doc/source/whatsnew/v0.24.0.txt
index 982fa8a97156fe..bf2ae89e3eb59a 100644
--- a/doc/source/whatsnew/v0.24.0.txt
+++ b/doc/source/whatsnew/v0.24.0.txt
@@ -735,7 +735,7 @@ I/O
 - :func:`read_excel()` will correctly show the deprecation warning for previously deprecated ``sheetname`` (:issue:`17994`)
 - :func:`read_csv()` will correctly parse timezone-aware datetimes (:issue:`22256`)
 - :func:`read_sas` will correctly parse sas7bdat files with many columns (:issue:`22628`)
-
+- :func:`read_sas` will correctly parse sas7bdat files with data page types having also bit 7 set (so page type is 128 + 256 = 384) (:issue:`16615`)
 
 Plotting
 ^^^^^^^^
diff --git a/pandas/io/sas/sas.pyx b/pandas/io/sas/sas.pyx
index 8395dccc1e7444..a5bfd5866a2613 100644
--- a/pandas/io/sas/sas.pyx
+++ b/pandas/io/sas/sas.pyx
@@ -375,7 +375,7 @@ cdef class Parser(object):
                     if done:
                         return True
                 return False
-            elif self.current_page_type == page_data_type:
+            elif self.current_page_type & page_data_type == page_data_type:
                 self.process_byte_array_with_data(
                     bit_offset + subheader_pointers_offset +
                     self.current_row_on_page_index * self.row_length,
diff --git a/pandas/io/sas/sas7bdat.py b/pandas/io/sas/sas7bdat.py
index 5efc6483df4fa9..b5fd62959c8194 100644
--- a/pandas/io/sas/sas7bdat.py
+++ b/pandas/io/sas/sas7bdat.py
@@ -301,8 +301,10 @@ def _process_page_meta(self):
         pt = [const.page_meta_type, const.page_amd_type] + const.page_mix_types
         if self._current_page_type in pt:
             self._process_page_metadata()
-        return ((self._current_page_type in [256] + const.page_mix_types) or
-                (self._current_page_data_subheader_pointers != []))
+        is_data_page = self._current_page_type & const.page_data_type
+        is_mix_page = self._current_page_type in const.page_mix_types
+        return (is_data_page or is_mix_page
+                or self._current_page_data_subheader_pointers != [])
 
     def _read_page_header(self):
         bit_offset = self._page_bit_offset
@@ -644,11 +646,13 @@ def _read_next_page(self):
                                         self._page_length))
 
         self._read_page_header()
-        if self._current_page_type == const.page_meta_type:
+        page_type = self._current_page_type
+        if page_type == const.page_meta_type:
             self._process_page_metadata()
-        pt = [const.page_meta_type, const.page_data_type]
-        pt += [const.page_mix_types]
-        if self._current_page_type not in pt:
+
+        is_data_page = page_type & const.page_data_type
+        pt = [const.page_meta_type] + const.page_mix_types
+        if not is_data_page and self._current_page_type not in pt:
             return self._read_next_page()
 
         return False
diff --git a/pandas/tests/io/sas/data/load_log.sas7bdat b/pandas/tests/io/sas/data/load_log.sas7bdat
new file mode 100644
index 00000000000000..dc78925471baf4
Binary files /dev/null and b/pandas/tests/io/sas/data/load_log.sas7bdat differ
diff --git a/pandas/tests/io/sas/test_sas7bdat.py b/pandas/tests/io/sas/test_sas7bdat.py
index 5608e19fa32246..77794b2f8a4209 100644
--- a/pandas/tests/io/sas/test_sas7bdat.py
+++ b/pandas/tests/io/sas/test_sas7bdat.py
@@ -184,6 +184,7 @@ def test_date_time(datapath):
 
 
 def test_many_columns(datapath):
+    # Test for looking for column information in more places (PR #22628)
     fname = datapath("io", "sas", "data", "many_columns.sas7bdat")
     df = pd.read_sas(fname, encoding='latin-1')
     fname = datapath("io", "sas", "data", "many_columns.csv")
@@ -199,6 +200,13 @@ def test_many_columns(datapath):
     tm.assert_frame_equal(df, df0)
 
 
+def test_inconsistent_number_of_rows(datapath):
+    # Regression test for issue #16615. (PR #22628)
+    fname = datapath("io", "sas", "data", "load_log.sas7bdat")
+    df = pd.read_sas(fname, encoding='latin-1')
+    assert len(df) == 2097
+
+
 def test_zero_variables(datapath):
     # Check if the SAS file has zero variables (PR #18184)
     fname = datapath("io", "sas", "data", "zero_variables.sas7bdat")