57829800 has 192 divisors, whose sum is σ = 209808000. Its totient is φ = 13171200.

The previous prime is 57829781. The next prime is 57829813. The reversal of 57829800 is 892875.

57829800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 205660 + ... + 205940.

It is an arithmetic number, because the mean of its divisors is an integer number (1092750).

Almost surely, 2^57829800 is an apocalyptic number.

57829800 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 57829800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104904000).

57829800 is an abundant number, since it is smaller than the sum of its proper divisors (151978200).

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

57829800 is a wasteful number, since it uses less digits than its factorization.

57829800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 57829800 is about 7604.5907187698. The cubic root of 57829800 is about 386.7086590674.

The spelling of 57829800 in words is "fifty-seven million, eight hundred twenty-nine thousand, eight hundred".