128888900 has 72 divisors (see below), whose sum is σ = 338478336. Its totient is φ = 41587200.

The previous prime is 128888891. The next prime is 128888911. The reversal of 128888900 is 9888821.

It is a super-2 number, since 2×128888900² = 33224697086420000, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6485 + ... + 17315.

It is an arithmetic number, because the mean of its divisors is an integer number (4701088).

Almost surely, 2^128888900 is an apocalyptic number.

128888900 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 128888900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169239168).

128888900 is an abundant number, since it is smaller than the sum of its proper divisors (209589436).

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

128888900 is a wasteful number, since it uses less digits than its factorization.

128888900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10869 (or 10862 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 44.

The square root of 128888900 is about 11352.9247333011. The cubic root of 128888900 is about 505.1323379603.

The spelling of 128888900 in words is "one hundred twenty-eight million, eight hundred eighty-eight thousand, nine hundred".