728000007920 has 40 divisors (see below), whose sum is σ = 1717862717904. Its totient is φ = 286853732352.

The previous prime is 728000007907. The next prime is 728000007941. The reversal of 728000007920 is 29700000827.

It is a tau number, because it is divible by the number of its divisors (40).

728000007920 is a modest number, since divided by 7920 gives 7280 as remainder.

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 7 ways as a sum of consecutive naturals, for example, 67905089 + ... + 67915808.

Almost surely, 2^728000007920 is an apocalyptic number.

It is an amenable number.

728000007920 is an abundant number, since it is smaller than the sum of its proper divisors (989862709984).

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

728000007920 is a wasteful number, since it uses less digits than its factorization.

728000007920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135820977 (or 135820971 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The spelling of 728000007920 in words is "seven hundred twenty-eight billion, seven thousand, nine hundred twenty".