57248352 has 144 divisors (see below), whose sum is σ = 189090720. Its totient is φ = 16091136.

The previous prime is 57248297. The next prime is 57248381. The reversal of 57248352 is 25384275.

57248352 is a `hidden beast` number, since 572 + 4 + 83 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146974 + ... + 147362.

It is an arithmetic number, because the mean of its divisors is an integer number (1313130).

Almost surely, 2^57248352 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 57248352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94545360).

57248352 is an abundant number, since it is smaller than the sum of its proper divisors (131842368).

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

57248352 is a wasteful number, since it uses less digits than its factorization.

57248352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 474 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 57248352 is about 7566.2640715217. The cubic root of 57248352 is about 385.4082407131.

It can be divided in two parts, 57248 and 352, that added together give a square (57600 = 240²).

The spelling of 57248352 in words is "fifty-seven million, two hundred forty-eight thousand, three hundred fifty-two".