57828000 has 192 divisors, whose sum is σ = 194987520. Its totient is φ = 14976000.

The previous prime is 57827993. The next prime is 57828013. The reversal of 57828000 is 82875.

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

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 31 ways as a sum of consecutive naturals, for example, 731961 + ... + 732039.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^57828000 is an apocalyptic number.

57828000 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 57828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

57828000 is an abundant number, since it is smaller than the sum of its proper divisors (137159520).

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

57828000 is a wasteful number, since it uses less digits than its factorization.

57828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

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

The square root of 57828000 is about 7604.4723682843. The cubic root of 57828000 is about 386.7046468176.

The spelling of 57828000 in words is "fifty-seven million, eight hundred twenty-eight thousand".