14628 has 24 divisors (see below), whose sum is σ = 36288. Its totient is φ = 4576.

The previous prime is 14627. The next prime is 14629. The reversal of 14628 is 82641.

It is an interprime number because it is at equal distance from previous prime (14627) and next prime (14629).

It is a plaindrome in base 8.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (14621) 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, 250 + ... + 302.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

2¹⁴⁶²⁸ 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 14628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144).

14628 is an abundant number, since it is smaller than the sum of its proper divisors (21660).

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

14628 is a wasteful number, since it uses less digits than its factorization.

14628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 81 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 14628 is about 120.9462690619. The cubic root of 14628 is about 24.4565382458.

The spelling of 14628 in words is "fourteen thousand, six hundred twenty-eight".