12647628 has 72 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 3494880.

The previous prime is 12647627. The next prime is 12647647. The reversal of 12647628 is 82674621.

12647628 is a `hidden beast` number, since 1 + 2 + 647 + 6 + 2 + 8 = 666.

12647628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 12647592 and 12647601.

It is not an unprimeable number, because it can be changed into a prime (12647627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7003 + ... + 8621.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 2^12647628 is an apocalyptic number.

12647628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12647628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

12647628 is an abundant number, since it is smaller than the sum of its proper divisors (25091892).

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

12647628 is a wasteful number, since it uses less digits than its factorization.

12647628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1662 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 12647628 is about 3556.3503764393. The cubic root of 12647628 is about 232.9895063029.

The spelling of 12647628 in words is "twelve million, six hundred forty-seven thousand, six hundred twenty-eight".