57083800 has 48 divisors (see below), whose sum is σ = 134924400. Its totient is φ = 22454400.

The previous prime is 57083797. The next prime is 57083801. The reversal of 57083800 is 838075.

57083800 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 not an unprimeable number, because it can be changed into a prime (57083801) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9861 + ... + 14539.

It is an arithmetic number, because the mean of its divisors is an integer number (2810925).

Almost surely, 2^57083800 is an apocalyptic number.

57083800 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 57083800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67462200).

57083800 is an abundant number, since it is smaller than the sum of its proper divisors (77840600).

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

57083800 is a wasteful number, since it uses less digits than its factorization.

57083800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4756 (or 4747 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 57083800 is about 7555.3821875535. The cubic root of 57083800 is about 385.0386198398.

The spelling of 57083800 in words is "fifty-seven million, eighty-three thousand, eight hundred".