57365028 has 72 divisors (see below), whose sum is σ = 174457920. Its totient is φ = 15526080.

The previous prime is 57365017. The next prime is 57365069. The reversal of 57365028 is 82056375.

57365028 is a `hidden beast` number, since 573 + 65 + 0 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 57364983 and 57365001.

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, 1203 + ... + 10778.

Almost surely, 2^57365028 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 57365028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87228960).

57365028 is an abundant number, since it is smaller than the sum of its proper divisors (117092892).

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

57365028 is a wasteful number, since it uses less digits than its factorization.

57365028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12017 (or 12012 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 57365028 is about 7573.9704250809. The cubic root of 57365028 is about 385.6698923629.

It can be divided in two parts, 57 and 365028, that added together give a triangular number (365085 = T₈₅₄).

The spelling of 57365028 in words is "fifty-seven million, three hundred sixty-five thousand, twenty-eight".