128028264 has 192 divisors, whose sum is σ = 413723520. Its totient is φ = 32140800.

The previous prime is 128028253. The next prime is 128028283. The reversal of 128028264 is 462820821.

It is a happy number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2098794 + ... + 2098854.

It is an arithmetic number, because the mean of its divisors is an integer number (2154810).

Almost surely, 2^128028264 is an apocalyptic number.

128028264 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 128028264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206861760).

128028264 is an abundant number, since it is smaller than the sum of its proper divisors (285695256).

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

128028264 is a wasteful number, since it uses less digits than its factorization.

128028264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 128028264 is about 11314.9575341669. The cubic root of 128028264 is about 504.0055114036.

The spelling of 128028264 in words is "one hundred twenty-eight million, twenty-eight thousand, two hundred sixty-four".