128880000 has 240 divisors, whose sum is σ = 466022700. Its totient is φ = 34176000.

The previous prime is 128879999. The next prime is 128880001. The reversal of 128880000 is 88821.

It is an interprime number because it is at equal distance from previous prime (128879999) and next prime (128880001).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×128880000² = 33220108800000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128880001) 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 29 ways as a sum of consecutive naturals, for example, 719911 + ... + 720089.

Almost surely, 2^128880000 is an apocalyptic number.

128880000 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 128880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233011350).

128880000 is an abundant number, since it is smaller than the sum of its proper divisors (337142700).

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

128880000 is an equidigital number, since it uses as much as digits as its factorization.

128880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 128880000 is about 11352.5327570547. The cubic root of 128880000 is about 505.1207109407.

The spelling of 128880000 in words is "one hundred twenty-eight million, eight hundred eighty thousand".