728956800 has 768 divisors, whose sum is σ = 3187296000. Its totient is φ = 160358400.

The previous prime is 728956763. The next prime is 728956817. The reversal of 728956800 is 8659827.

728956800 is a `hidden beast` number, since 7 + 2 + 89 + 568 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12355171 + ... + 12355229.

It is an arithmetic number, because the mean of its divisors is an integer number (4150125).

Almost surely, 2^728956800 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 728956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593648000).

728956800 is an abundant number, since it is smaller than the sum of its proper divisors (2458339200).

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

728956800 is a wasteful number, since it uses less digits than its factorization.

728956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 728956800 is about 26999.1999881478. The cubic root of 728956800 is about 899.9822218710.

The spelling of 728956800 in words is "seven hundred twenty-eight million, nine hundred fifty-six thousand, eight hundred".