88325628336 has 560 divisors, whose sum is σ = 290719392768. Its totient is φ = 25754112000.

The previous prime is 88325628319. The next prime is 88325628337. The reversal of 88325628336 is 63382652388.

88325628336 is a `hidden beast` number, since 8 + 8 + 3 + 2 + 5 + 628 + 3 + 3 + 6 = 666.

It is a super-2 number, since 2×88325628336² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88325628337) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 584937861 + ... + 584938011.

Almost surely, 2^88325628336 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 88325628336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145359696384).

88325628336 is an abundant number, since it is smaller than the sum of its proper divisors (202393764432).

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

88325628336 is a wasteful number, since it uses less digits than its factorization.

88325628336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 311 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 88325628336 in words is "eighty-eight billion, three hundred twenty-five million, six hundred twenty-eight thousand, three hundred thirty-six".