28500585 has 16 divisors (see below), whose sum is σ = 48283776. Its totient is φ = 14306048.

The previous prime is 28500569. The next prime is 28500601. The reversal of 28500585 is 58500582.

28500585 = 322² + 323² + ... + 491².

It is an interprime number because it is at equal distance from previous prime (28500569) and next prime (28500601).

It is a cyclic number.

It is not a de Polignac number, because 28500585 - 2⁴ = 28500569 is a prime.

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, 55629 + ... + 56138.

It is an arithmetic number, because the mean of its divisors is an integer number (3017736).

Almost surely, 2^28500585 is an apocalyptic number.

It is an amenable number.

28500585 is a deficient number, since it is larger than the sum of its proper divisors (19783191).

28500585 is a wasteful number, since it uses less digits than its factorization.

28500585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111792.

The product of its (nonzero) digits is 16000, while the sum is 33.

The square root of 28500585 is about 5338.5939160045. The cubic root of 28500585 is about 305.4578271605.

The spelling of 28500585 in words is "twenty-eight million, five hundred thousand, five hundred eighty-five".