57444768 has 96 divisors (see below), whose sum is σ = 177448320. Its totient is φ = 18017280.

The previous prime is 57444721. The next prime is 57444773. The reversal of 57444768 is 86744475.

57444768 is a `hidden beast` number, since 574 + 4 + 4 + 76 + 8 = 666.

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

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 15 ways as a sum of consecutive naturals, for example, 12733 + ... + 16643.

It is an arithmetic number, because the mean of its divisors is an integer number (1848420).

Almost surely, 2^57444768 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 57444768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88724160).

57444768 is an abundant number, since it is smaller than the sum of its proper divisors (120003552).

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

57444768 is a wasteful number, since it uses less digits than its factorization.

57444768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3933 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 57444768 is about 7579.2326788403. The cubic root of 57444768 is about 385.8485091949.

The spelling of 57444768 in words is "fifty-seven million, four hundred forty-four thousand, seven hundred sixty-eight".