128835504 has 270 divisors, whose sum is σ = 456204060. Its totient is φ = 33747840.

The previous prime is 128835479. The next prime is 128835521. The reversal of 128835504 is 405538821.

It is a happy number.

128835504 is a `hidden beast` number, since 1 + 28 + 83 + 550 + 4 = 666.

It is a super-3 number, since 3×128835504³ (a number of 25 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4155969 + ... + 4155999.

Almost surely, 2^128835504 is an apocalyptic number.

128835504 is a gapful number since it is divisible by the number (14) 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 128835504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228102030).

128835504 is an abundant number, since it is smaller than the sum of its proper divisors (327368556).

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

128835504 is a wasteful number, since it uses less digits than its factorization.

128835504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 128835504 is about 11350.5728489799. The cubic root of 128835504 is about 505.0625730392.

The spelling of 128835504 in words is "one hundred twenty-eight million, eight hundred thirty-five thousand, five hundred four".