88889628672 has 432 divisors, whose sum is σ = 290788308720. Its totient is φ = 25955500032.

The previous prime is 88889628617. The next prime is 88889628721. The reversal of 88889628672 is 27682698888.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (297271296) is a multiple of the sum of its prime divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 88889628672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 699918273 + ... + 699918399.

It is an arithmetic number, because the mean of its divisors is an integer number (673121085).

Almost surely, 2^88889628672 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 88889628672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145394154360).

88889628672 is an abundant number, since it is smaller than the sum of its proper divisors (201898680048).

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

88889628672 is a wasteful number, since it uses less digits than its factorization.

88889628672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 168 counting only the distinct ones).

The product of its digits is 297271296, while the sum is 72.

The spelling of 88889628672 in words is "eighty-eight billion, eight hundred eighty-nine million, six hundred twenty-eight thousand, six hundred seventy-two".