728223931136 has 216 divisors, whose sum is σ = 1618368894576. Its totient is φ = 326695649280.

The previous prime is 728223931117. The next prime is 728223931181. The reversal of 728223931136 is 631139322827.

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 23 ways as a sum of consecutive naturals, for example, 626159291 + ... + 626160453.

It is an arithmetic number, because the mean of its divisors is an integer number (7492448586).

Almost surely, 2^728223931136 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 728223931136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809184447288).

728223931136 is an abundant number, since it is smaller than the sum of its proper divisors (890144963440).

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

728223931136 is a wasteful number, since it uses less digits than its factorization.

728223931136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1572 counting only the distinct ones).

The product of its digits is 653184, while the sum is 47.

The spelling of 728223931136 in words is "seven hundred twenty-eight billion, two hundred twenty-three million, nine hundred thirty-one thousand, one hundred thirty-six".