128516800 has 84 divisors (see below), whose sum is σ = 323148960. Its totient is φ = 50283520.

The previous prime is 128516789. The next prime is 128516819. The reversal of 128516800 is 8615821.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74346 + ... + 76054.

Almost surely, 2^128516800 is an apocalyptic number.

128516800 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 128516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161574480).

128516800 is an abundant number, since it is smaller than the sum of its proper divisors (194632160).

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

128516800 is a wasteful number, since it uses less digits than its factorization.

128516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 128516800 is about 11336.5250407698. The cubic root of 128516800 is about 504.6457666769.

The spelling of 128516800 in words is "one hundred twenty-eight million, five hundred sixteen thousand, eight hundred".