128567264 has 48 divisors (see below), whose sum is σ = 292572000. Its totient is φ = 54472704.

The previous prime is 128567233. The next prime is 128567273. The reversal of 128567264 is 462765821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16712 + ... + 23160.

It is an arithmetic number, because the mean of its divisors is an integer number (6095250).

Almost surely, 2^128567264 is an apocalyptic number.

128567264 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 128567264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146286000).

128567264 is an abundant number, since it is smaller than the sum of its proper divisors (164004736).

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

128567264 is an equidigital number, since it uses as much as digits as its factorization.

128567264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6555 (or 6547 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The square root of 128567264 is about 11338.7505484511. The cubic root of 128567264 is about 504.7118102122.

The spelling of 128567264 in words is "one hundred twenty-eight million, five hundred sixty-seven thousand, two hundred sixty-four".