24628 has 12 divisors (see below), whose sum is σ = 44352. Its totient is φ = 11960.

The previous prime is 24623. The next prime is 24631. The reversal of 24628 is 82642.

It is a d-powerful number, because it can be written as 2³ + 4⁷ + 6² + 2¹³ + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 24599 and 24608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24623) by changing a digit.

24628 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 in 3 ways as a sum of consecutive naturals, for example, 123 + ... + 253.

It is an arithmetic number, because the mean of its divisors is an integer number (3696).

2²⁴⁶²⁸ is an apocalyptic number.

It is an amenable number.

24628 is a deficient number, since it is larger than the sum of its proper divisors (19724).

24628 is a wasteful number, since it uses less digits than its factorization.

24628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 180 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 24628 is about 156.9331067685. The cubic root of 24628 is about 29.0944207409.

The spelling of 24628 in words is "twenty-four thousand, six hundred twenty-eight".