728627218848 has 576 divisors, whose sum is σ = 2320225689600. Its totient is φ = 215933921280.

The previous prime is 728627218793. The next prime is 728627218859. The reversal of 728627218848 is 848812726827.

728627218848 is a `hidden beast` number, since 7 + 286 + 272 + 1 + 8 + 84 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1573708665 + ... + 1573709127.

It is an arithmetic number, because the mean of its divisors is an integer number (4028169600).

Almost surely, 2^728627218848 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 728627218848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160112844800).

728627218848 is an abundant number, since it is smaller than the sum of its proper divisors (1591598470752).

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

728627218848 is a wasteful number, since it uses less digits than its factorization.

728627218848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 774 counting only the distinct ones).

The product of its digits is 38535168, while the sum is 63.

The spelling of 728627218848 in words is "seven hundred twenty-eight billion, six hundred twenty-seven million, two hundred eighteen thousand, eight hundred forty-eight".