12628008 has 128 divisors (see below), whose sum is σ = 39312000. Its totient is φ = 3732480.

The previous prime is 12628001. The next prime is 12628009. The reversal of 12628008 is 80082621.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12628001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69678 + ... + 69858.

It is an arithmetic number, because the mean of its divisors is an integer number (307125).

Almost surely, 2^12628008 is an apocalyptic number.

12628008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12628008 is the 2052-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12628008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000).

12628008 is an abundant number, since it is smaller than the sum of its proper divisors (26683992).

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

12628008 is a wasteful number, since it uses less digits than its factorization.

12628008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 12628008 is about 3553.5908599612. The cubic root of 12628008 is about 232.8689667067.

The spelling of 12628008 in words is "twelve million, six hundred twenty-eight thousand, eight".