88928608320 has 224 divisors, whose sum is σ = 313929613440. Its totient is φ = 23698483200.

The previous prime is 88928608297. The next prime is 88928608333. The reversal of 88928608320 is 2380682988.

88928608320 is a `hidden beast` number, since 8 + 8 + 9 + 2 + 8 + 608 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19117995 + ... + 19122645.

Almost surely, 2^88928608320 is an apocalyptic number.

88928608320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88928608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156964806720).

88928608320 is an abundant number, since it is smaller than the sum of its proper divisors (225001005120).

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

88928608320 is a wasteful number, since it uses less digits than its factorization.

88928608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6890 (or 6874 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 88928608320 in words is "eighty-eight billion, nine hundred twenty-eight million, six hundred eight thousand, three hundred twenty".