57515328 has 84 divisors (see below), whose sum is σ = 177561748. Its totient is φ = 17694720.

The previous prime is 57515327. The next prime is 57515329. The reversal of 57515328 is 82351575.

57515328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57515327) and next prime (57515329).

It can be written as a sum of positive squares in 2 ways, for example, as 23503104 + 34012224 = 4848^2 + 5832^2 .

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 = 57515292 and 57515301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57515321) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3648 + ... + 11328.

Almost surely, 2^57515328 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 57515328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88780874).

57515328 is an abundant number, since it is smaller than the sum of its proper divisors (120046420).

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

57515328 is a wasteful number, since it uses less digits than its factorization.

57515328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7712 (or 7699 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 57515328 is about 7583.8860750937. The cubic root of 57515328 is about 386.0064251215.

The spelling of 57515328 in words is "fifty-seven million, five hundred fifteen thousand, three hundred twenty-eight".