12883128 has 32 divisors (see below), whose sum is σ = 33609600. Its totient is φ = 4107488.

The previous prime is 12883111. The next prime is 12883133. The reversal of 12883128 is 82138821.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11118 + ... + 12221.

It is an arithmetic number, because the mean of its divisors is an integer number (1050300).

Almost surely, 2^12883128 is an apocalyptic number.

It is an amenable number.

12883128 is an abundant number, since it is smaller than the sum of its proper divisors (20726472).

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

12883128 is a wasteful number, since it uses less digits than its factorization.

12883128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23371 (or 23367 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 12883128 is about 3589.3074540919. The cubic root of 12883128 is about 234.4267179025.

The spelling of 12883128 in words is "twelve million, eight hundred eighty-three thousand, one hundred twenty-eight".