12782848 has 72 divisors (see below), whose sum is σ = 28844928. Its totient is φ = 5609472.

The previous prime is 12782831. The next prime is 12782851. The reversal of 12782848 is 84828721.

It is a super-2 number, since 2×12782848² = 326802405982208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12782848.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76461 + ... + 76627.

It is an arithmetic number, because the mean of its divisors is an integer number (400624).

Almost surely, 2^12782848 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 12782848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14422464).

12782848 is an abundant number, since it is smaller than the sum of its proper divisors (16062080).

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

12782848 is a wasteful number, since it uses less digits than its factorization.

12782848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 205 counting only the distinct ones).

The product of its digits is 57344, while the sum is 40.

The square root of 12782848 is about 3575.3108955726. The cubic root of 12782848 is about 233.8168874518.

The spelling of 12782848 in words is "twelve million, seven hundred eighty-two thousand, eight hundred forty-eight".