A golf ball comprising a core comprised of a polymer containing an acid group fully-neutralized by an organic acid or a salt, a cation source, or a suitable base thereof, the core having a first Shore D hardness, a compression of no greater than about 80, and a diameter of no less than about 1.53 inches; and a cover formed of a blend comprising polyurethanes and polyureas or a copolymer comprising urethane and urea segments.