88628944320 has 672 divisors, whose sum is σ = 375331207680. Its totient is φ = 18742026240.

The previous prime is 88628944307. The next prime is 88628944331. The reversal of 88628944320 is 2344982688.

88628944320 is a `hidden beast` number, since 8 + 8 + 628 + 9 + 4 + 4 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

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, 16468030 + ... + 16473410.

Almost surely, 2^88628944320 is an apocalyptic number.

88628944320 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 88628944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187665603840).

88628944320 is an abundant number, since it is smaller than the sum of its proper divisors (286702263360).

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

88628944320 is a wasteful number, since it uses less digits than its factorization.

88628944320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5473 (or 5460 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 88628944320 in words is "eighty-eight billion, six hundred twenty-eight million, nine hundred forty-four thousand, three hundred twenty".