128868264 has 96 divisors (see below), whose sum is σ = 416257920. Its totient is φ = 35215488.

The previous prime is 128868263. The next prime is 128868301. The reversal of 128868264 is 462868821.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (128868263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6034 + ... + 17150.

It is an arithmetic number, because the mean of its divisors is an integer number (4336020).

Almost surely, 2^128868264 is an apocalyptic number.

128868264 is a gapful number since it is divisible by the number (14) 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 128868264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208128960).

128868264 is an abundant number, since it is smaller than the sum of its proper divisors (287389656).

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

128868264 is a wasteful number, since it uses less digits than its factorization.

128868264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11159 (or 11152 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 128868264 is about 11352.0158562257. The cubic root of 128868264 is about 505.1053781334.

The spelling of 128868264 in words is "one hundred twenty-eight million, eight hundred sixty-eight thousand, two hundred sixty-four".