128900772 has 288 divisors, whose sum is σ = 452524800. Its totient is φ = 30481920.

The previous prime is 128900767. The next prime is 128900773. The reversal of 128900772 is 277009821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (128900773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1765728 + ... + 1765800.

Almost surely, 2^128900772 is an apocalyptic number.

128900772 is a gapful number since it is divisible by the number (12) 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 128900772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226262400).

128900772 is an abundant number, since it is smaller than the sum of its proper divisors (323624028).

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

128900772 is a wasteful number, since it uses less digits than its factorization.

128900772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 128900772 is about 11353.4475821224. The cubic root of 128900772 is about 505.1478467874.

The spelling of 128900772 in words is "one hundred twenty-eight million, nine hundred thousand, seven hundred seventy-two".