12881628 has 18 divisors (see below), whose sum is σ = 32561984. Its totient is φ = 4293864.

The previous prime is 12881599. The next prime is 12881629. The reversal of 12881628 is 82618821.

12881628 is a `hidden beast` number, since 1 + 28 + 8 + 1 + 628 = 666.

12881628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 357823 = 12881628 / (1 + 2 + 8 + 8 + 1 + 6 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 12881592 and 12881601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12881629) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 178876 + ... + 178947.

Almost surely, 2^12881628 is an apocalyptic number.

12881628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12881628 is an abundant number, since it is smaller than the sum of its proper divisors (19680356).

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

12881628 is a wasteful number, since it uses less digits than its factorization.

12881628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357833 (or 357828 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 12881628 is about 3589.0984940511. The cubic root of 12881628 is about 234.4176193429.

It can be divided in two parts, 1288 and 1628, that added together give a square (2916 = 54²).

The spelling of 12881628 in words is "twelve million, eight hundred eighty-one thousand, six hundred twenty-eight".