28665000 has 360 divisors, whose sum is σ = 121531410. Its totient is φ = 6048000.

The previous prime is 28664981. The next prime is 28665019. The reversal of 28665000 is 56682.

28665000 is a `hidden beast` number, since 2 + 8 + 6 + 650 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28664981) and next prime (28665019).

It can be written as a sum of positive squares in 5 ways, for example, as 213444 + 28451556 = 462^2 + 5334^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2204994 + ... + 2205006.

Almost surely, 2^28665000 is an apocalyptic number.

28665000 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 28665000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60765705).

28665000 is an abundant number, since it is smaller than the sum of its proper divisors (92866410).

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

28665000 is a wasteful number, since it uses less digits than its factorization.

28665000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 28665000 is about 5353.9704892724. The cubic root of 28665000 is about 306.0440792582.

The spelling of 28665000 in words is "twenty-eight million, six hundred sixty-five thousand".