57864448 has 72 divisors (see below), whose sum is σ = 122333400. Its totient is φ = 27279360.

The previous prime is 57864437. The next prime is 57864463. The reversal of 57864448 is 84446875.

It can be written as a sum of positive squares in 4 ways, for example, as 831744 + 57032704 = 912^2 + 7552^2 .

It is a junction number, because it is equal to n+sod(n) for n = 57864398 and 57864407.

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 7 ways as a sum of consecutive naturals, for example, 388278 + ... + 388426.

It is an arithmetic number, because the mean of its divisors is an integer number (1699075).

Almost surely, 2^57864448 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 57864448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61166700).

57864448 is an abundant number, since it is smaller than the sum of its proper divisors (64468952).

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

57864448 is a wasteful number, since it uses less digits than its factorization.

57864448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its digits is 860160, while the sum is 46.

The square root of 57864448 is about 7606.8684752663. The cubic root of 57864448 is about 386.7858741977.

The spelling of 57864448 in words is "fifty-seven million, eight hundred sixty-four thousand, four hundred forty-eight".