12628028160 has 432 divisors, whose sum is σ = 47982654720. Its totient is φ = 3040911360.

The previous prime is 12628028143. The next prime is 12628028177. The reversal of 12628028160 is 6182082621.

12628028160 is a `hidden beast` number, since 1 + 2 + 628 + 0 + 28 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12628028143) and next prime (12628028177).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28765221 + ... + 28765659.

It is an arithmetic number, because the mean of its divisors is an integer number (111070960).

Almost surely, 2^12628028160 is an apocalyptic number.

12628028160 is a gapful number since it is divisible by the number (10) 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 12628028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23991327360).

12628028160 is an abundant number, since it is smaller than the sum of its proper divisors (35354626560).

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

12628028160 is a wasteful number, since it uses less digits than its factorization.

12628028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 12628028160 in words is "twelve billion, six hundred twenty-eight million, twenty-eight thousand, one hundred sixty".