57028752 has 120 divisors (see below), whose sum is σ = 180092640. Its totient is φ = 17265600.

The previous prime is 57028733. The next prime is 57028759. The reversal of 57028752 is 25782075.

57028752 is a `hidden beast` number, since 570 + 2 + 87 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (57028759) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51727 + ... + 52817.

It is an arithmetic number, because the mean of its divisors is an integer number (1500772).

Almost surely, 2^57028752 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 57028752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90046320).

57028752 is an abundant number, since it is smaller than the sum of its proper divisors (123063888).

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

57028752 is a wasteful number, since it uses less digits than its factorization.

57028752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 57028752 is about 7551.7383429248. The cubic root of 57028752 is about 384.9148110836.

The spelling of 57028752 in words is "fifty-seven million, twenty-eight thousand, seven hundred fifty-two".