88492928800 has 144 divisors (see below), whose sum is σ = 229001171112. Its totient is φ = 33277132800.

The previous prime is 88492928779. The next prime is 88492928807. The reversal of 88492928800 is 882929488.

It can be written as a sum of positive squares in 12 ways, for example, as 29698318224 + 58794610576 = 172332^2 + 242476^2 .

It is not an unprimeable number, because it can be changed into a prime (88492928807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13882414 + ... + 13888786.

Almost surely, 2^88492928800 is an apocalyptic number.

88492928800 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 88492928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114500585556).

88492928800 is an abundant number, since it is smaller than the sum of its proper divisors (140508242312).

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

88492928800 is a wasteful number, since it uses less digits than its factorization.

88492928800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7431 (or 7418 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 58.

The spelling of 88492928800 in words is "eighty-eight billion, four hundred ninety-two million, nine hundred twenty-eight thousand, eight hundred".