57882208 has 96 divisors (see below), whose sum is σ = 128701440. Its totient is φ = 25505280.

The previous prime is 57882193. The next prime is 57882233. The reversal of 57882208 is 80228875.

57882208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 697335 + ... + 697417.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640).

Almost surely, 2^57882208 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 57882208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64350720).

57882208 is an abundant number, since it is smaller than the sum of its proper divisors (70819232).

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

57882208 is a wasteful number, since it uses less digits than its factorization.

57882208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 57882208 is about 7608.0357517562. The cubic root of 57882208 is about 386.8254414662.

The spelling of 57882208 in words is "fifty-seven million, eight hundred eighty-two thousand, two hundred eight".