57472128 has 96 divisors (see below), whose sum is σ = 189034560. Its totient is φ = 16418304.

The previous prime is 57472127. The next prime is 57472133. The reversal of 57472128 is 82127475.

57472128 is a `hidden beast` number, since 574 + 72 + 12 + 8 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 57472092 and 57472101.

It is not an unprimeable number, because it can be changed into a prime (57472127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4501 + ... + 11627.

It is an arithmetic number, because the mean of its divisors is an integer number (1969110).

Almost surely, 2^57472128 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 57472128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94517280).

57472128 is an abundant number, since it is smaller than the sum of its proper divisors (131562432).

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

57472128 is a wasteful number, since it uses less digits than its factorization.

57472128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7154 (or 7139 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 57472128 is about 7581.0373960296. The cubic root of 57472128 is about 385.9097572424.

It can be divided in two parts, 57472 and 128, that added together give a square (57600 = 240²).

The spelling of 57472128 in words is "fifty-seven million, four hundred seventy-two thousand, one hundred twenty-eight".