88964928 has 126 divisors (see below), whose sum is σ = 277159974. Its totient is φ = 27122688.

The previous prime is 88964903. The next prime is 88964933. The reversal of 88964928 is 82946988.

It can be written as a sum of positive squares in 3 ways, for example, as 13483584 + 75481344 = 3672^2 + 8688^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 816138 + ... + 816246.

Almost surely, 2^88964928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88964928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138579987).

88964928 is an abundant number, since it is smaller than the sum of its proper divisors (188195046).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88964928 is a wasteful number, since it uses less digits than its factorization.

88964928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 127 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 88964928 is about 9432.1221366138. The cubic root of 88964928 is about 446.4158548344.

It can be divided in two parts, 8896 and 4928, that added together give a cube (13824 = 24³).

The spelling of 88964928 in words is "eighty-eight million, nine hundred sixty-four thousand, nine hundred twenty-eight".