57970728 has 80 divisors (see below), whose sum is σ = 163807380. Its totient is φ = 19153152.

The previous prime is 57970727. The next prime is 57970747. The reversal of 57970728 is 82707975.

57970728 is a `hidden beast` number, since 579 + 7 + 0 + 72 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57426084 + 544644 = 7578^2 + 738^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57970721) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88450 + ... + 89102.

Almost surely, 2^57970728 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 57970728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81903690).

57970728 is an abundant number, since it is smaller than the sum of its proper divisors (105836652).

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

57970728 is a wasteful number, since it uses less digits than its factorization.

57970728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 57970728 is about 7613.8510623731. The cubic root of 57970728 is about 387.0225333914.

The spelling of 57970728 in words is "fifty-seven million, nine hundred seventy thousand, seven hundred twenty-eight".