572928000 has 208 divisors, whose sum is σ = 1911582816. Its totient is φ = 152371200.

The previous prime is 572927989. The next prime is 572928007. The reversal of 572928000 is 829275.

It is not an unprimeable number, because it can be changed into a prime (572928007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1535814 + ... + 1536186.

It is an arithmetic number, because the mean of its divisors is an integer number (9190302).

Almost surely, 2^572928000 is an apocalyptic number.

572928000 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 572928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955791408).

572928000 is an abundant number, since it is smaller than the sum of its proper divisors (1338654816).

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

572928000 is an equidigital number, since it uses as much as digits as its factorization.

572928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 572928000 is about 23935.9144383497. The cubic root of 572928000 is about 830.5517210460.

The spelling of 572928000 in words is "five hundred seventy-two million, nine hundred twenty-eight thousand".