Division I-FBS (formerly Division 1-A) football programs are allowed to have 85 players on scholarship. The NCAA does not mandate that all 85 scholarships are "full" scholarships, although in practice it makes little sense to give a "half" or "fractional" scholarship since the rules govern number of players receiving a scholarship rather than the number of full scholarships.
In Division I-FCS (formerly Division 1-AA), programs are allowed 63 "equivalencies," meaning that they can give more than 63 players a scholarship as long as those scholarships do not total more than the equivalent of 63 full scholarships. Division II programs are allowed 36 "equivalencies," and Division III are allowed zero (Division III sports are non-scholarship).
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For Division 1A, 85 players may be on scholarship. For Division 1AA, 63 players.
It depends on the team and school because schools with bigger and better football programs will have more because they want to keep the legacy going. The average amount is about 8-12.