128838120 has 32 divisors (see below), whose sum is σ = 386514720. Its totient is φ = 34356800.

The previous prime is 128838103. The next prime is 128838169. The reversal of 128838120 is 21838821.

It is a super-2 number, since 2×128838120² = 33198522330268800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 536706 + ... + 536945.

It is an arithmetic number, because the mean of its divisors is an integer number (12078585).

Almost surely, 2^128838120 is an apocalyptic number.

128838120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128838120 is an abundant number, since it is smaller than the sum of its proper divisors (257676600).

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

128838120 is a wasteful number, since it uses less digits than its factorization.

128838120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073665 (or 1073661 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 128838120 is about 11350.6880848696. The cubic root of 128838120 is about 505.0659914415.

The spelling of 128838120 in words is "one hundred twenty-eight million, eight hundred thirty-eight thousand, one hundred twenty".