128995200 has 192 divisors, whose sum is σ = 472402800. Its totient is φ = 34375680.

The previous prime is 128995193. The next prime is 128995211. The reversal of 128995200 is 2599821.

128995200 is a `hidden beast` number, since 128 + 9 + 9 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85654 + ... + 87146.

Almost surely, 2^128995200 is an apocalyptic number.

128995200 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 128995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236201400).

128995200 is an abundant number, since it is smaller than the sum of its proper divisors (343407600).

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

128995200 is a wasteful number, since it uses less digits than its factorization.

128995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 128995200 is about 11357.6053814173. The cubic root of 128995200 is about 505.2711676362.

The spelling of 128995200 in words is "one hundred twenty-eight million, nine hundred ninety-five thousand, two hundred".