28164564 has 48 divisors (see below), whose sum is σ = 74067840. Its totient is φ = 9253440.

The previous prime is 28164559. The next prime is 28164583. The reversal of 28164564 is 46546182.

28164564 is a `hidden beast` number, since 2 + 8 + 1 + 645 + 6 + 4 = 666.

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

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 15 ways as a sum of consecutive naturals, for example, 5832 + ... + 9504.

It is an arithmetic number, because the mean of its divisors is an integer number (1543080).

Almost surely, 2^28164564 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 28164564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37033920).

28164564 is an abundant number, since it is smaller than the sum of its proper divisors (45903276).

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

28164564 is a wasteful number, since it uses less digits than its factorization.

28164564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757 (or 3749 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 28164564 is about 5307.0296777011. The cubic root of 28164564 is about 304.2526322183.

The spelling of 28164564 in words is "twenty-eight million, one hundred sixty-four thousand, five hundred sixty-four".