12305628 has 48 divisors (see below), whose sum is σ = 33012000. Its totient is φ = 3959424.

The previous prime is 12305627. The next prime is 12305633. The reversal of 12305628 is 82650321.

12305628 is a `hidden beast` number, since 1 + 2 + 30 + 5 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12305627) 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, 1168 + ... + 5096.

It is an arithmetic number, because the mean of its divisors is an integer number (687750).

Almost surely, 2^12305628 is an apocalyptic number.

12305628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12305628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16506000).

12305628 is an abundant number, since it is smaller than the sum of its proper divisors (20706372).

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

12305628 is a wasteful number, since it uses less digits than its factorization.

12305628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3971 (or 3963 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12305628 is about 3507.9378557779. The cubic root of 12305628 is about 230.8702256399.

Adding to 12305628 its reverse (82650321), we get a palindrome (94955949).

The spelling of 12305628 in words is "twelve million, three hundred five thousand, six hundred twenty-eight".