12653628 has 48 divisors (see below), whose sum is σ = 32904480. Its totient is φ = 3757824.

The previous prime is 12653623. The next prime is 12653629. The reversal of 12653628 is 82635621.

It is a super-2 number, since 2×12653628² = 320228603124768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12653621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3126 + ... + 5922.

It is an arithmetic number, because the mean of its divisors is an integer number (685510).

Almost surely, 2^12653628 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 12653628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16452240).

12653628 is an abundant number, since it is smaller than the sum of its proper divisors (20250852).

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

12653628 is a wasteful number, since it uses less digits than its factorization.

12653628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2844 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 12653628 is about 3557.1938378447. The cubic root of 12653628 is about 233.0263436723.

The spelling of 12653628 in words is "twelve million, six hundred fifty-three thousand, six hundred twenty-eight".