128889600 has 324 divisors, whose sum is σ = 498421224. Its totient is φ = 29245440.

The previous prime is 128889589. The next prime is 128889617. The reversal of 128889600 is 6988821.

It is a super-2 number, since 2×128889600² = 33225057976320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 35 ways as a sum of consecutive naturals, for example, 940732 + ... + 940868.

Almost surely, 2^128889600 is an apocalyptic number.

128889600 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 128889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249210612).

128889600 is an abundant number, since it is smaller than the sum of its proper divisors (369531624).

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

128889600 is a wasteful number, since it uses less digits than its factorization.

128889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 128889600 is about 11352.9555623194. The cubic root of 128889600 is about 505.1332524223.

The spelling of 128889600 in words is "one hundred twenty-eight million, eight hundred eighty-nine thousand, six hundred".