12828456 has 48 divisors (see below), whose sum is σ = 36036000. Its totient is φ = 4275504.

The previous prime is 12828427. The next prime is 12828461. The reversal of 12828456 is 65482821.

It is a super-3 number, since 3×12828456³ (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 self number, because there is not a number n which added to its sum of digits gives 12828456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1356 + ... + 5243.

It is an arithmetic number, because the mean of its divisors is an integer number (750750).

Almost surely, 2^12828456 is an apocalyptic number.

It is an amenable number.

12828456 is an abundant number, since it is smaller than the sum of its proper divisors (23207544).

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

12828456 is an equidigital number, since it uses as much as digits as its factorization.

12828456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6620 (or 6604 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 12828456 is about 3581.6834030941. The cubic root of 12828456 is about 234.0946362774.

The spelling of 12828456 in words is "twelve million, eight hundred twenty-eight thousand, four hundred fifty-six".