28284 has 12 divisors (see below), whose sum is σ = 66024. Its totient is φ = 9424.

The previous prime is 28283. The next prime is 28289. The reversal of 28284 is 48282.

28284 = 52² + 53² + ... + 60².

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28283) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1167 + ... + 1190.

It is an arithmetic number, because the mean of its divisors is an integer number (5502).

2²⁸²⁸⁴ is an apocalyptic number.

It is an amenable number.

28284 is an abundant number, since it is smaller than the sum of its proper divisors (37740).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33012).

28284 is a wasteful number, since it uses less digits than its factorization.

28284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2362 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 28284 is about 168.1784766253. The cubic root of 28284 is about 30.4682101811.

The spelling of 28284 in words is "twenty-eight thousand, two hundred eighty-four".