88672928400 has 405 divisors, whose sum is σ = 358465234491. Its totient is φ = 20239511040.

The previous prime is 88672928371. The next prime is 88672928411. The reversal of 88672928400 is 482927688.

The square root of 88672928400 is 297780.

It is a perfect power (a square), and thus also a powerful number.

88672928400 is a `hidden beast` number, since 8 + 86 + 72 + 92 + 8 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24489746064 + 64183182336 = 156492^2 + 253344^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 125067246 + ... + 125067954.

Almost surely, 2^88672928400 is an apocalyptic number.

88672928400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

88672928400 is the 297780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88672928400

88672928400 is an abundant number, since it is smaller than the sum of its proper divisors (269792306091).

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

88672928400 is a wasteful number, since it uses less digits than its factorization.

88672928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 88672928400 in words is "eighty-eight billion, six hundred seventy-two million, nine hundred twenty-eight thousand, four hundred".