12828624 has 40 divisors (see below), whose sum is σ = 33643680. Its totient is φ = 4211328.

The previous prime is 12828623. The next prime is 12828631. The reversal of 12828624 is 42682821.

It is a happy number.

It is a super-3 number, since 3×12828624³ (a number of 22 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12828623) 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, 1222 + ... + 5210.

It is an arithmetic number, because the mean of its divisors is an integer number (841092).

Almost surely, 2^12828624 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 12828624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16821840).

12828624 is an abundant number, since it is smaller than the sum of its proper divisors (20815056).

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

12828624 is a wasteful number, since it uses less digits than its factorization.

12828624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4067 (or 4061 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 12828624 is about 3581.7068556765. The cubic root of 12828624 is about 234.0956581652.

The spelling of 12828624 in words is "twelve million, eight hundred twenty-eight thousand, six hundred twenty-four".