128856 has 64 divisors (see below), whose sum is σ = 403200. Its totient is φ = 33408.

The previous prime is 128837. The next prime is 128857. The reversal of 128856 is 658821.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128857) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2155 + ... + 2213.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2¹²⁸⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201600).

128856 is an abundant number, since it is smaller than the sum of its proper divisors (274344).

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

128856 is a wasteful number, since it uses less digits than its factorization.

128856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 84 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 128856 is about 358.9651793698. The cubic root of 128856 is about 50.5089354512.

The spelling of 128856 in words is "one hundred twenty-eight thousand, eight hundred fifty-six".