57138528 has 96 divisors (see below), whose sum is σ = 155457792. Its totient is φ = 18368000.

The previous prime is 57138413. The next prime is 57138539. The reversal of 57138528 is 82583175.

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

It is a super-2 number, since 2×57138528² = 6529622764013568, which contains 22 as substring.

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, 565678 + ... + 565778.

It is an arithmetic number, because the mean of its divisors is an integer number (1619352).

Almost surely, 2^57138528 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 57138528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77728896).

57138528 is an abundant number, since it is smaller than the sum of its proper divisors (98319264).

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

57138528 is a wasteful number, since it uses less digits than its factorization.

With its successor (57138529) it forms an eRAP, since the sums of their prime factors are consecutive (268 and 269).

57138528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The square root of 57138528 is about 7559.0031088762. The cubic root of 57138528 is about 385.1616300045.

It can be divided in two parts, 5713 and 8528, that added together give a palindrome (14241).

The spelling of 57138528 in words is "fifty-seven million, one hundred thirty-eight thousand, five hundred twenty-eight".