128833600 has 84 divisors (see below), whose sum is σ = 362329984. Its totient is φ = 44167680.

The previous prime is 128833561. The next prime is 128833609. The reversal of 128833600 is 6338821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128833609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5449 + ... + 16951.

Almost surely, 2^128833600 is an apocalyptic number.

128833600 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 128833600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181164992).

128833600 is an abundant number, since it is smaller than the sum of its proper divisors (233496384).

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

128833600 is a wasteful number, since it uses less digits than its factorization.

128833600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11532 (or 11517 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 128833600 is about 11350.4889762512. The cubic root of 128833600 is about 505.0600849986.

The spelling of 128833600 in words is "one hundred twenty-eight million, eight hundred thirty-three thousand, six hundred".