728339006079 has 48 divisors (see below), whose sum is σ = 1063412064000. Its totient is φ = 480350481408.

The previous prime is 728339006063. The next prime is 728339006113. The reversal of 728339006079 is 970600933827.

728339006079 is a `hidden beast` number, since 7 + 28 + 3 + 3 + 9 + 0 + 0 + 607 + 9 = 666.

728339006079 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 728339006079 - 2⁴ = 728339006063 is a prime.

It is a super-2 number, since 2×728339006079² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728339006579) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241250232 + ... + 241253250.

It is an arithmetic number, because the mean of its divisors is an integer number (22154418000).

Almost surely, 2^728339006079 is an apocalyptic number.

728339006079 is a deficient number, since it is larger than the sum of its proper divisors (335073057921).

728339006079 is a wasteful number, since it uses less digits than its factorization.

728339006079 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 728339006079 in words is "seven hundred twenty-eight billion, three hundred thirty-nine million, six thousand, seventy-nine".