536928000 has 576 divisors, whose sum is σ = 2203987968. Its totient is φ = 113049600.

The previous prime is 536927987. The next prime is 536928043. The reversal of 536928000 is 829635.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11423977 + ... + 11424023.

It is an arithmetic number, because the mean of its divisors is an integer number (3826368).

Almost surely, 2^536928000 is an apocalyptic number.

536928000 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 536928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101993984).

536928000 is an abundant number, since it is smaller than the sum of its proper divisors (1667059968).

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

536928000 is a wasteful number, since it uses less digits than its factorization.

536928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 536928000 is about 23171.7068857691. The cubic root of 536928000 is about 812.7781454020.

The spelling of 536928000 in words is "five hundred thirty-six million, nine hundred twenty-eight thousand".