28084 has 24 divisors (see below), whose sum is σ = 60480. Its totient is φ = 11136.

The previous prime is 28081. The next prime is 28087. The reversal of 28084 is 48082.

28084 = 22² + 23² + ... + 45².

28084 is nontrivially palindromic in base 3.

It is an interprime number because it is at equal distance from previous prime (28081) and next prime (28087).

It is a super-2 number, since 2×28084² = 1577422112, which contains 22 as substring.

28084 is a modest number, since divided by 84 gives 28 as remainder.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 447 + ... + 505.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2²⁸⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240).

28084 is an abundant number, since it is smaller than the sum of its proper divisors (32396).

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

28084 is a wasteful number, since it uses less digits than its factorization.

28084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 28084 is about 167.5828153481. The cubic root of 28084 is about 30.3962252931.

Subtracting from 28084 its product of nonzero digits (512), we obtain a palindrome (27572).

The spelling of 28084 in words is "twenty-eight thousand, eighty-four".