28164960 has 72 divisors (see below), whose sum is σ = 96117840. Its totient is φ = 7510272.

The previous prime is 28164959. The next prime is 28164977. The reversal of 28164960 is 6946182.

28164960 is a `hidden beast` number, since 2 + 8 + 1 + 649 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8340 + ... + 11219.

It is an arithmetic number, because the mean of its divisors is an integer number (1334970).

Almost surely, 2^28164960 is an apocalyptic number.

28164960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28164960 is an abundant number, since it is smaller than the sum of its proper divisors (67952880).

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

28164960 is a wasteful number, since it uses less digits than its factorization.

28164960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19580 (or 19569 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 28164960 is about 5307.0669865755. The cubic root of 28164960 is about 304.2540581647.

It can be divided in two parts, 2816 and 4960, that added together give a 5-th power (7776 = 6⁵).

The spelling of 28164960 in words is "twenty-eight million, one hundred sixty-four thousand, nine hundred sixty".