12784128 has 160 divisors (see below), whose sum is σ = 41247360. Its totient is φ = 3440640.

The previous prime is 12784117. The next prime is 12784133. The reversal of 12784128 is 82148721.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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, 311788 + ... + 311828.

It is an arithmetic number, because the mean of its divisors is an integer number (257796).

Almost surely, 2^12784128 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 12784128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

12784128 is an abundant number, since it is smaller than the sum of its proper divisors (28463232).

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

12784128 is an equidigital number, since it uses as much as digits as its factorization.

12784128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 82 counting only the distinct ones).

The product of its digits is 7168, while the sum is 33.

The square root of 12784128 is about 3575.4898965037. The cubic root of 12784128 is about 233.8246915454.

It can be divided in two parts, 127 and 84128, that added together give a triangular number (84255 = T₄₁₀).

The spelling of 12784128 in words is "twelve million, seven hundred eighty-four thousand, one hundred twenty-eight".