57835728 has 80 divisors (see below), whose sum is σ = 168114240. Its totient is φ = 19034496.

The previous prime is 57835711. The next prime is 57835759. The reversal of 57835728 is 82753875.

57835728 is a `hidden beast` number, since 5 + 78 + 3 + 572 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35050 + ... + 36662.

It is an arithmetic number, because the mean of its divisors is an integer number (2101428).

Almost surely, 2^57835728 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 57835728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84057120).

57835728 is an abundant number, since it is smaller than the sum of its proper divisors (110278512).

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

57835728 is a wasteful number, since it uses less digits than its factorization.

57835728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1701 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 57835728 is about 7604.9804733477. The cubic root of 57835728 is about 386.7218721548.

It can be divided in two parts, 5783 and 5728, that added together give a palindrome (11511).

The spelling of 57835728 in words is "fifty-seven million, eight hundred thirty-five thousand, seven hundred twenty-eight".