128430900 has 144 divisors (see below), whose sum is σ = 444763200. Its totient is φ = 31605120.

The previous prime is 128430859. The next prime is 128430943. The reversal of 128430900 is 9034821.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33271 + ... + 36929.

Almost surely, 2^128430900 is an apocalyptic number.

128430900 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 128430900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222381600).

128430900 is an abundant number, since it is smaller than the sum of its proper divisors (316332300).

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

128430900 is a wasteful number, since it uses less digits than its factorization.

128430900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3695 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 128430900 is about 11332.7357685600. The cubic root of 128430900 is about 504.5333073641.

The spelling of 128430900 in words is "one hundred twenty-eight million, four hundred thirty thousand, nine hundred".