12428672 has 32 divisors (see below), whose sum is σ = 25061400. Its totient is φ = 6138880.

The previous prime is 12428657. The next prime is 12428681. The reversal of 12428672 is 27682421.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10847 + ... + 11937.

Almost surely, 2^12428672 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 12428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12530700).

12428672 is an abundant number, since it is smaller than the sum of its proper divisors (12632728).

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

12428672 is an equidigital number, since it uses as much as digits as its factorization.

12428672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1182 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 12428672 is about 3525.4321720890. The cubic root of 12428672 is about 231.6371657021.

The spelling of 12428672 in words is "twelve million, four hundred twenty-eight thousand, six hundred seventy-two".