18628 has 6 divisors (see below), whose sum is σ = 32606. Its totient is φ = 9312.

The previous prime is 18617. The next prime is 18637. The reversal of 18628 is 82681.

It can be written as a sum of positive squares in only one way, i.e., 12544 + 6084 = 112^2 + 78^2 .

It is a plaindrome in base 15.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2325 + ... + 2332.

2¹⁸⁶²⁸ is an apocalyptic number.

It is an amenable number.

18628 is a deficient number, since it is larger than the sum of its proper divisors (13978).

18628 is a wasteful number, since it uses less digits than its factorization.

18628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4661 (or 4659 counting only the distinct ones).

The product of its digits is 768, while the sum is 25.

The square root of 18628 is about 136.4844313466. The cubic root of 18628 is about 26.5087190960.

It can be divided in two parts, 18 and 628, that added together give a palindrome (646).

The spelling of 18628 in words is "eighteen thousand, six hundred twenty-eight".