57200096928 has 576 divisors, whose sum is σ = 183602184192. Its totient is φ = 15498362880.

The previous prime is 57200096917. The next prime is 57200096929. The reversal of 57200096928 is 82969000275.

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

It is not an unprimeable number, because it can be changed into a prime (57200096929) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 450394401 + ... + 450394527.

It is an arithmetic number, because the mean of its divisors is an integer number (318753792).

Almost surely, 2^57200096928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57200096928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91801092096).

57200096928 is an abundant number, since it is smaller than the sum of its proper divisors (126402087264).

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

57200096928 is a wasteful number, since it uses less digits than its factorization.

57200096928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 57200096928 in words is "fifty-seven billion, two hundred million, ninety-six thousand, nine hundred twenty-eight".