128026800 has 360 divisors, whose sum is σ = 501918768. Its totient is φ = 29952000.

The previous prime is 128026757. The next prime is 128026819. The reversal of 128026800 is 8620821.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 2098770 + ... + 2098830.

Almost surely, 2^128026800 is an apocalyptic number.

128026800 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 128026800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250959384).

128026800 is an abundant number, since it is smaller than the sum of its proper divisors (373891968).

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

128026800 is a wasteful number, since it uses less digits than its factorization.

128026800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 128026800 is about 11314.8928408536. The cubic root of 128026800 is about 504.0035902994.

The spelling of 128026800 in words is "one hundred twenty-eight million, twenty-six thousand, eight hundred".