57038688 has 96 divisors (see below), whose sum is σ = 190149120. Its totient is φ = 16295040.

The previous prime is 57038677. The next prime is 57038693. The reversal of 57038688 is 88683075.

57038688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×57038688² = 6506823857522688, 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 15 ways as a sum of consecutive naturals, for example, 1333 + ... + 10763.

It is an arithmetic number, because the mean of its divisors is an integer number (1980720).

Almost surely, 2^57038688 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 57038688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95074560).

57038688 is an abundant number, since it is smaller than the sum of its proper divisors (133110432).

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

57038688 is a wasteful number, since it uses less digits than its factorization.

57038688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9457 (or 9443 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 57038688 is about 7552.3961760490. The cubic root of 57038688 is about 384.9371640859.

The spelling of 57038688 in words is "fifty-seven million, thirty-eight thousand, six hundred eighty-eight".