12628928 has 56 divisors (see below), whose sum is σ = 27694128. Its totient is φ = 5677056.

The previous prime is 12628921. The next prime is 12628937. The reversal of 12628928 is 82982621.

It is a junction number, because it is equal to n+sod(n) for n = 12628891 and 12628900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12628921) 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, 35600 + ... + 35952.

It is an arithmetic number, because the mean of its divisors is an integer number (494538).

Almost surely, 2^12628928 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 12628928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13847064).

12628928 is an abundant number, since it is smaller than the sum of its proper divisors (15065200).

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

12628928 is a wasteful number, since it uses less digits than its factorization.

12628928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 411 counting only the distinct ones).

The product of its digits is 27648, while the sum is 38.

The square root of 12628928 is about 3553.7203041320. The cubic root of 12628928 is about 232.8746217091.

The spelling of 12628928 in words is "twelve million, six hundred twenty-eight thousand, nine hundred twenty-eight".