28985 has 16 divisors (see below), whose sum is σ = 41472. Its totient is φ = 19200.

The previous prime is 28979. The next prime is 29009. The reversal of 28985 is 58982.

28985 = 11² + 12² + ... + 44².

28985 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 28985 - 2⁶ = 28921 is a prime.

It is a Duffinian number.

Its product of digits (5760) is a multiple of the sum of its prime divisors (64).

28985 is strictly pandigital in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 920 + ... + 950.

It is an arithmetic number, because the mean of its divisors is an integer number (2592).

2²⁸⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

28985 is a deficient number, since it is larger than the sum of its proper divisors (12487).

28985 is a wasteful number, since it uses less digits than its factorization.

28985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64.

The product of its digits is 5760, while the sum is 32.

The square root of 28985 is about 170.2498164463. The cubic root of 28985 is about 30.7178702453.

The spelling of 28985 in words is "twenty-eight thousand, nine hundred eighty-five".