28164816 has 60 divisors (see below), whose sum is σ = 79199172. Its totient is φ = 9343488.

The previous prime is 28164809. The next prime is 28164817. The reversal of 28164816 is 61846182.

28164816 is a `hidden beast` number, since 2 + 8 + 1 + 648 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1166400 + 26998416 = 1080^2 + 5196^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28164817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45340 + ... + 45956.

Almost surely, 2^28164816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28164816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39599586).

28164816 is an abundant number, since it is smaller than the sum of its proper divisors (51034356).

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

28164816 is a wasteful number, since it uses less digits than its factorization.

28164816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 939 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 28164816 is about 5307.0534197424. The cubic root of 28164816 is about 304.2535396403.

The spelling of 28164816 in words is "twenty-eight million, one hundred sixty-four thousand, eight hundred sixteen".