128929200 has 60 divisors (see below), whose sum is σ = 413007048. Its totient is φ = 34380800.

The previous prime is 128929183. The next prime is 128929223. The reversal of 128929200 is 2929821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×128929200² = 33245477225280000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52521 + ... + 54920.

Almost surely, 2^128929200 is an apocalyptic number.

128929200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128929200 is an abundant number, since it is smaller than the sum of its proper divisors (284077848).

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

128929200 is a wasteful number, since it uses less digits than its factorization.

128929200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107462 (or 107451 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 128929200 is about 11354.6994676213. The cubic root of 128929200 is about 505.1849794521.

The spelling of 128929200 in words is "one hundred twenty-eight million, nine hundred twenty-nine thousand, two hundred".