8628 has 12 divisors (see below), whose sum is σ = 20160. Its totient is φ = 2872.

The previous prime is 8627. The next prime is 8629. The reversal of 8628 is 8268.

It is an interprime number because it is at equal distance from previous prime (8627) and next prime (8629).

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 junction number, because it is equal to n+sod(n) for n = 8598 and 8607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8623) 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, 348 + ... + 371.

It is an arithmetic number, because the mean of its divisors is an integer number (1680).

2⁸⁶²⁸ is an apocalyptic number.

It is an amenable number.

8628 is an abundant number, since it is smaller than the sum of its proper divisors (11532).

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 (10080).

8628 is a wasteful number, since it uses less digits than its factorization.

8628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 724 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 8628 is about 92.8870281579. The cubic root of 8628 is about 20.5102070923.

It can be divided in two parts, 8 and 628, that added together give a palindrome (636).

The spelling of 8628 in words is "eight thousand, six hundred twenty-eight".