12884928 has 56 divisors (see below), whose sum is σ = 38965632. Its totient is φ = 3681024.

The previous prime is 12884923. The next prime is 12884939. The reversal of 12884928 is 82948821.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 12884928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12884923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3450 + ... + 6137.

Almost surely, 2^12884928 is an apocalyptic number.

It is an amenable number.

12884928 is an abundant number, since it is smaller than the sum of its proper divisors (26080704).

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

12884928 is an equidigital number, since it uses as much as digits as its factorization.

12884928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9609 (or 9599 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 12884928 is about 3589.5581900841. The cubic root of 12884928 is about 234.4376352419.

It can be divided in two parts, 1288 and 4928, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 12884928 in words is "twelve million, eight hundred eighty-four thousand, nine hundred twenty-eight".