88628432880 has 160 divisors (see below), whose sum is σ = 296172043776. Its totient is φ = 21794890752.

The previous prime is 88628432873. The next prime is 88628432881. The reversal of 88628432880 is 8823482688.

It is a super-2 number, since 2×88628432880² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 88628432880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88628432881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3303199 + ... + 3329921.

Almost surely, 2^88628432880 is an apocalyptic number.

88628432880 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 88628432880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148086021888).

88628432880 is an abundant number, since it is smaller than the sum of its proper divisors (207543610896).

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

88628432880 is a wasteful number, since it uses less digits than its factorization.

88628432880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27815 (or 27809 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 57.

The spelling of 88628432880 in words is "eighty-eight billion, six hundred twenty-eight million, four hundred thirty-two thousand, eight hundred eighty".