12628 has 24 divisors (see below), whose sum is σ = 28224. Its totient is φ = 4800.

The previous prime is 12619. The next prime is 12637. The reversal of 12628 is 82621.

It is a happy number.

12628 is nontrivially palindromic in base 9 and base 13.

It is an interprime number because it is at equal distance from previous prime (12619) and next prime (12637).

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288 + ... + 328.

It is an arithmetic number, because the mean of its divisors is an integer number (1176).

2¹²⁶²⁸ 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 12628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112).

12628 is an abundant number, since it is smaller than the sum of its proper divisors (15596).

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

12628 is a wasteful number, since it uses less digits than its factorization.

12628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 61 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 12628 is about 112.3743743030. The cubic root of 12628 is about 23.2868917532.

Multiplying 12628 by its sum of digits (19), we get a palindrome (239932).

The spelling of 12628 in words is "twelve thousand, six hundred twenty-eight".