128892960 has 288 divisors, whose sum is σ = 529925760. Its totient is φ = 27869184.

The previous prime is 128892931. The next prime is 128892991. The reversal of 128892960 is 69298821.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×128892960² = 33226790275123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191184 + ... + 191856.

It is an arithmetic number, because the mean of its divisors is an integer number (1840020).

Almost surely, 2^128892960 is an apocalyptic number.

128892960 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 128892960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264962880).

128892960 is an abundant number, since it is smaller than the sum of its proper divisors (401032800).

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

128892960 is a wasteful number, since it uses less digits than its factorization.

128892960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 128892960 is about 11353.1035404421. The cubic root of 128892960 is about 505.1376417937.

The spelling of 128892960 in words is "one hundred twenty-eight million, eight hundred ninety-two thousand, nine hundred sixty".