12828048 has 80 divisors (see below), whose sum is σ = 35283456. Its totient is φ = 4008960.

The previous prime is 12828037. The next prime is 12828073. The reversal of 12828048 is 84082821.

12828048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54940 + ... + 55172.

Almost surely, 2^12828048 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 12828048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17641728).

12828048 is an abundant number, since it is smaller than the sum of its proper divisors (22455408).

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

12828048 is a wasteful number, since it uses less digits than its factorization.

12828048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 12828048 is about 3581.6264461834. The cubic root of 12828048 is about 234.0921545128.

The spelling of 12828048 in words is "twelve million, eight hundred twenty-eight thousand, forty-eight".