12782628 has 18 divisors (see below), whose sum is σ = 32311734. Its totient is φ = 4260864.

The previous prime is 12782599. The next prime is 12782629. The reversal of 12782628 is 82628721.

It is a happy number.

12782628 is a `hidden beast` number, since 1 + 27 + 8 + 2 + 628 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11778624 + 1004004 = 3432^2 + 1002^2 .

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: 355073 = 12782628 / (1 + 2 + 7 + 8 + 2 + 6 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 12782592 and 12782601.

It is not an unprimeable number, because it can be changed into a prime (12782629) 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, 177501 + ... + 177572.

Almost surely, 2^12782628 is an apocalyptic number.

12782628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12782628 is an abundant number, since it is smaller than the sum of its proper divisors (19529106).

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

12782628 is a wasteful number, since it uses less digits than its factorization.

12782628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355083 (or 355078 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 12782628 is about 3575.2801288850. The cubic root of 12782628 is about 233.8155460708.

The spelling of 12782628 in words is "twelve million, seven hundred eighty-two thousand, six hundred twenty-eight".