57528960 has 192 divisors, whose sum is σ = 195864480. Its totient is φ = 14358528.

The previous prime is 57528959. The next prime is 57528983. The reversal of 57528960 is 6982575.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693079 + ... + 693161.

Almost surely, 2^57528960 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 57528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97932240).

57528960 is an abundant number, since it is smaller than the sum of its proper divisors (138335520).

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

57528960 is a wasteful number, since it uses less digits than its factorization.

57528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 57528960 is about 7584.7847695238. The cubic root of 57528960 is about 386.0369191602.

The spelling of 57528960 in words is "fifty-seven million, five hundred twenty-eight thousand, nine hundred sixty".