12628413 has 32 divisors (see below), whose sum is σ = 21612800. Its totient is φ = 7138368.

The previous prime is 12628411. The next prime is 12628423. The reversal of 12628413 is 31482621.

12628413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12628413 - 2¹ = 12628411 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12628411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20295 + ... + 20907.

It is an arithmetic number, because the mean of its divisors is an integer number (675400).

Almost surely, 2^12628413 is an apocalyptic number.

It is an amenable number.

12628413 is a deficient number, since it is larger than the sum of its proper divisors (8984387).

12628413 is a wasteful number, since it uses less digits than its factorization.

12628413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 732 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 12628413 is about 3553.6478441174. The cubic root of 12628413 is about 232.8714561709.

It can be divided in two parts, 12628 and 413, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 12628413 in words is "twelve million, six hundred twenty-eight thousand, four hundred thirteen".