728606673864 has 96 divisors (see below), whose sum is σ = 1995173856000. Its totient is φ = 240183542400.

The previous prime is 728606673833. The next prime is 728606673877. The reversal of 728606673864 is 468376606827.

It is a super-2 number, since 2×728606673864² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6217687 + ... + 6333785.

It is an arithmetic number, because the mean of its divisors is an integer number (20783061000).

Almost surely, 2^728606673864 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 728606673864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997586928000).

728606673864 is an abundant number, since it is smaller than the sum of its proper divisors (1266567182136).

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

728606673864 is a wasteful number, since it uses less digits than its factorization.

728606673864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117075 (or 117068 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 728606673864 in words is "seven hundred twenty-eight billion, six hundred six million, six hundred seventy-three thousand, eight hundred sixty-four".