728908800 has 132 divisors (see below), whose sum is σ = 2409335376. Its totient is φ = 194355200.

The previous prime is 728908777. The next prime is 728908871. The reversal of 728908800 is 8809827.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72055 + ... + 81545.

Almost surely, 2^728908800 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 728908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204667688).

728908800 is an abundant number, since it is smaller than the sum of its proper divisors (1680426576).

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

728908800 is a wasteful number, since it uses less digits than its factorization.

728908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9524 (or 9501 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 728908800 is about 26998.3110582866. The cubic root of 728908800 is about 899.9624675706.

The spelling of 728908800 in words is "seven hundred twenty-eight million, nine hundred eight thousand, eight hundred".