728825716720 has 80 divisors (see below), whose sum is σ = 1780916014080. Its totient is φ = 276848808192.

The previous prime is 728825716603. The next prime is 728825716741. The reversal of 728825716720 is 27617528827.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1169064 + ... + 1680583.

It is an arithmetic number, because the mean of its divisors is an integer number (22261450176).

Almost surely, 2^728825716720 is an apocalyptic number.

It is an amenable number.

728825716720 is an abundant number, since it is smaller than the sum of its proper divisors (1052090297360).

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

728825716720 is a wasteful number, since it uses less digits than its factorization.

728825716720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849822 (or 2849816 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 55.

The spelling of 728825716720 in words is "seven hundred twenty-eight billion, eight hundred twenty-five million, seven hundred sixteen thousand, seven hundred twenty".