57888672 has 96 divisors (see below), whose sum is σ = 163296000. Its totient is φ = 17891328.

The previous prime is 57888659. The next prime is 57888697. The reversal of 57888672 is 27688875.

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

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 128704 + ... + 129152.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^57888672 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 57888672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81648000).

57888672 is an abundant number, since it is smaller than the sum of its proper divisors (105407328).

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

57888672 is a wasteful number, since it uses less digits than its factorization.

57888672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 550 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 51.

The square root of 57888672 is about 7608.4605538834. The cubic root of 57888672 is about 386.8398405171.

The spelling of 57888672 in words is "fifty-seven million, eight hundred eighty-eight thousand, six hundred seventy-two".