128866900 has 72 divisors (see below), whose sum is σ = 287759360. Its totient is φ = 50077440.

The previous prime is 128866883. The next prime is 128866901. The reversal of 128866900 is 9668821.

It is a super-2 number, since 2×128866900² = 33213355831220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128866901) 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, 927031 + ... + 927169.

Almost surely, 2^128866900 is an apocalyptic number.

128866900 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 128866900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143879680).

128866900 is an abundant number, since it is smaller than the sum of its proper divisors (158892460).

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

128866900 is a wasteful number, since it uses less digits than its factorization.

128866900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 128866900 is about 11351.9557786313. The cubic root of 128866900 is about 505.1035960392.

The spelling of 128866900 in words is "one hundred twenty-eight million, eight hundred sixty-six thousand, nine hundred".