57985872 has 160 divisors (see below), whose sum is σ = 186654720. Its totient is φ = 15137280.

The previous prime is 57985867. The next prime is 57985897. The reversal of 57985872 is 27858975.

57985872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57985872² = 6724722703200768, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 197758 + ... + 198050.

It is an arithmetic number, because the mean of its divisors is an integer number (1166592).

Almost surely, 2^57985872 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 57985872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93327360).

57985872 is an abundant number, since it is smaller than the sum of its proper divisors (128668848).

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

57985872 is a wasteful number, since it uses less digits than its factorization.

57985872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 51.

The square root of 57985872 is about 7614.8455007308. The cubic root of 57985872 is about 387.0562317719.

The spelling of 57985872 in words is "fifty-seven million, nine hundred eighty-five thousand, eight hundred seventy-two".