It is not practical to go right back in the past or infinitely in the future. So let's look at the 20th and 21st century. For those, the 28th of August is on a Saturday in the following years:
1909
1915
1920
1926
1937
1943
1948
1954
1965
1971
1976
1982
1993
1999
2004
2010
2021
2027
2032
2038
2049
2055
2060
2066
2077
2083
2088
2094
2100
Twice, in the US. August 20 will fall on a Saturday in the year 2011 and 2016.
Between 2001 and 2011, August 23 fell on a Saturday in the following years: 2003 2008
2017, 2023, 2028, 2034, etc.
August 11th, 2012 will fall on a Saturday.
No. The 28th of July in 2005 was a Thursday.
28th, August, 1985, was a Wednesday.
August 10, 1994 would then fall on a Wednesday.
November 28th 1992 was a Saturday.
October 28, 1970 fell on a Saturday.
August 28, 2011, is a Sunday.
August 4, 2012 will fall on a Saturday.
August 1, 2015 will fall on a Saturday.