128964816 has 60 divisors (see below), whose sum is σ = 366336672. Its totient is φ = 42343488.

The previous prime is 128964763. The next prime is 128964833. The reversal of 128964816 is 618469821.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2965 + ... + 16331.

Almost surely, 2^128964816 is an apocalyptic number.

128964816 is a gapful number since it is divisible by the number (16) 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 128964816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183168336).

128964816 is an abundant number, since it is smaller than the sum of its proper divisors (237371856).

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

128964816 is a wasteful number, since it uses less digits than its factorization.

128964816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13448 (or 13439 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 128964816 is about 11356.2676967391. The cubic root of 128964816 is about 505.2314933830.

The spelling of 128964816 in words is "one hundred twenty-eight million, nine hundred sixty-four thousand, eight hundred sixteen".