128116800 has 504 divisors, whose sum is σ = 550298112. Its totient is φ = 27648000.

The previous prime is 128116799. The next prime is 128116817. The reversal of 128116800 is 8611821.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3124780 + ... + 3124820.

Almost surely, 2^128116800 is an apocalyptic number.

128116800 is a gapful number since it is divisible by the number (10) 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 128116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275149056).

128116800 is an abundant number, since it is smaller than the sum of its proper divisors (422181312).

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

128116800 is a wasteful number, since it uses less digits than its factorization.

128116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 128116800 is about 11318.8692014706. The cubic root of 128116800 is about 504.1216637501.

It can be divided in two parts, 1281 and 16800, that added together give a palindrome (18081).

The spelling of 128116800 in words is "one hundred twenty-eight million, one hundred sixteen thousand, eight hundred".