57882000 has 160 divisors (see below), whose sum is σ = 203808384. Its totient is φ = 14016000.

The previous prime is 57881987. The next prime is 57882043. The reversal of 57882000 is 28875.

57882000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 65562 + ... + 66438.

Almost surely, 2^57882000 is an apocalyptic number.

57882000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101904192).

57882000 is an abundant number, since it is smaller than the sum of its proper divisors (145926384).

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

57882000 is a wasteful number, since it uses less digits than its factorization.

57882000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 57882000 is about 7608.0220819869. The cubic root of 57882000 is about 386.8249781126.

The spelling of 57882000 in words is "fifty-seven million, eight hundred eighty-two thousand".