16128264 has 64 divisors (see below), whose sum is σ = 42955200. Its totient is φ = 5031936.

The previous prime is 16128227. The next prime is 16128317. The reversal of 16128264 is 46282161.

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 15 ways as a sum of consecutive naturals, for example, 51372 + ... + 51684.

It is an arithmetic number, because the mean of its divisors is an integer number (671175).

Almost surely, 2^16128264 is an apocalyptic number.

16128264 is the 2147-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16128264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21477600).

16128264 is an abundant number, since it is smaller than the sum of its proper divisors (26826936).

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

16128264 is a wasteful number, since it uses less digits than its factorization.

16128264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 450 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 16128264 is about 4016.0009960158. Note that the first 3 decimals coincide. The cubic root of 16128264 is about 252.6557624693.

The spelling of 16128264 in words is "sixteen million, one hundred twenty-eight thousand, two hundred sixty-four".