28664000 has 56 divisors (see below), whose sum is σ = 71006208. Its totient is φ = 11462400.

The previous prime is 28663939. The next prime is 28664071. The reversal of 28664000 is 46682.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6209 + ... + 9791.

It is an arithmetic number, because the mean of its divisors is an integer number (1267968).

Almost surely, 2^28664000 is an apocalyptic number.

28664000 is a gapful number since it is divisible by the number (20) 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 28664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35503104).

28664000 is an abundant number, since it is smaller than the sum of its proper divisors (42342208).

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

28664000 is an equidigital number, since it uses as much as digits as its factorization.

28664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 28664000 is about 5353.8770998221. The cubic root of 28664000 is about 306.0405203578.

The spelling of 28664000 in words is "twenty-eight million, six hundred sixty-four thousand".