12828672 has 120 divisors (see below), whose sum is σ = 39320400. Its totient is φ = 4128768.

The previous prime is 12828661. The next prime is 12828679. The reversal of 12828672 is 27682821.

It is a happy number.

It is a super-3 number, since 3×12828672³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12828679) 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, 442354 + ... + 442382.

It is an arithmetic number, because the mean of its divisors is an integer number (327670).

Almost surely, 2^12828672 is an apocalyptic number.

12828672 is a gapful number since it is divisible by the number (12) 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 12828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19660200).

12828672 is an abundant number, since it is smaller than the sum of its proper divisors (26491728).

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

12828672 is an frugal number, since it uses more digits than its factorization.

12828672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 34 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 12828672 is about 3581.7135563861. The cubic root of 12828672 is about 234.0959501315.

The spelling of 12828672 in words is "twelve million, eight hundred twenty-eight thousand, six hundred seventy-two".