57507328 has 40 divisors (see below), whose sum is σ = 121679712. Its totient is φ = 27058176.

The previous prime is 57507313. The next prime is 57507341. The reversal of 57507328 is 82370575.

57507328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5401 + ... + 12007.

Almost surely, 2^57507328 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 57507328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60839856).

57507328 is an abundant number, since it is smaller than the sum of its proper divisors (64172384).

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

57507328 is an equidigital number, since it uses as much as digits as its factorization.

57507328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6642 (or 6626 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 37.

The square root of 57507328 is about 7583.3586226685. The cubic root of 57507328 is about 385.9885273152.

The spelling of 57507328 in words is "fifty-seven million, five hundred seven thousand, three hundred twenty-eight".