57428384800 has 36 divisors (see below), whose sum is σ = 140197046346. Its totient is φ = 22971353600.

The previous prime is 57428384753. The next prime is 57428384803. The reversal of 57428384800 is 848382475.

It can be written as a sum of positive squares in 3 ways, for example, as 40883222416 + 16545162384 = 202196^2 + 128628^2 .

It is not an unprimeable number, because it can be changed into a prime (57428384803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35891941 + ... + 35893540.

Almost surely, 2^57428384800 is an apocalyptic number.

57428384800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57428384800 is an abundant number, since it is smaller than the sum of its proper divisors (82768661546).

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

57428384800 is a wasteful number, since it uses less digits than its factorization.

57428384800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71785501 (or 71785488 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 49.

The spelling of 57428384800 in words is "fifty-seven billion, four hundred twenty-eight million, three hundred eighty-four thousand, eight hundred".