128814300 has 288 divisors, whose sum is σ = 455526400. Its totient is φ = 31492800.

The previous prime is 128814293. The next prime is 128814379. The reversal of 128814300 is 3418821.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4155285 + ... + 4155315.

Almost surely, 2^128814300 is an apocalyptic number.

128814300 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 128814300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227763200).

128814300 is an abundant number, since it is smaller than the sum of its proper divisors (326712100).

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

128814300 is a wasteful number, since it uses less digits than its factorization.

128814300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

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

The square root of 128814300 is about 11349.6387607712. The cubic root of 128814300 is about 505.0348634559.

The spelling of 128814300 in words is "one hundred twenty-eight million, eight hundred fourteen thousand, three hundred".