5628 has 24 divisors (see below), whose sum is σ = 15232. Its totient is φ = 1584.

The previous prime is 5623. The next prime is 5639. The reversal of 5628 is 8265.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 9 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5623) 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, 51 + ... + 117.

2⁵⁶²⁸ 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 5628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7616).

5628 is an abundant number, since it is smaller than the sum of its proper divisors (9604).

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

5628 is a wasteful number, since it uses less digits than its factorization.

5628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 79 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 5628 is about 75.0199973340. The cubic root of 5628 is about 17.7876276435.

The spelling of 5628 in words is "five thousand, six hundred twenty-eight".