57828334800 has 240 divisors, whose sum is σ = 187964219520. Its totient is φ = 15195832320.

The previous prime is 57828334793. The next prime is 57828334807. The reversal of 57828334800 is 843382875.

It is an interprime number because it is at equal distance from previous prime (57828334793) and next prime (57828334807).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 57828334800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57828334807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30612256 + ... + 30614144.

It is an arithmetic number, because the mean of its divisors is an integer number (783184248).

Almost surely, 2^57828334800 is an apocalyptic number.

57828334800 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 57828334800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93982109760).

57828334800 is an abundant number, since it is smaller than the sum of its proper divisors (130135884720).

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

57828334800 is a wasteful number, since it uses less digits than its factorization.

57828334800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 57828334800 in words is "fifty-seven billion, eight hundred twenty-eight million, three hundred thirty-four thousand, eight hundred".