57724128 has 288 divisors, whose sum is σ = 217002240. Its totient is φ = 14100480.

The previous prime is 57724097. The next prime is 57724141. The reversal of 57724128 is 82142775.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 57724092 and 57724101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421276 + ... + 421412.

It is an arithmetic number, because the mean of its divisors is an integer number (753480).

Almost surely, 2^57724128 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 57724128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108501120).

57724128 is an abundant number, since it is smaller than the sum of its proper divisors (159278112).

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

57724128 is a wasteful number, since it uses less digits than its factorization.

57724128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 179 counting only the distinct ones).

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

The square root of 57724128 is about 7597.6396334651. The cubic root of 57724128 is about 386.4729720856.

The spelling of 57724128 in words is "fifty-seven million, seven hundred twenty-four thousand, one hundred twenty-eight".