12628472832 has 176 divisors, whose sum is σ = 37867862400. Its totient is φ = 4208744448.

The previous prime is 12628472827. The next prime is 12628472833. The reversal of 12628472832 is 23827482621.

12628472832 is a `hidden beast` number, since 12 + 628 + 4 + 7 + 2 + 8 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12628472833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2236669 + ... + 2242307.

Almost surely, 2^12628472832 is an apocalyptic number.

12628472832 is a gapful number since it is divisible by the number (12) 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 12628472832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18933931200).

12628472832 is an abundant number, since it is smaller than the sum of its proper divisors (25239389568).

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

12628472832 is an frugal number, since it uses more digits than its factorization.

12628472832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5680 (or 5644 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 12628472832 in words is "twelve billion, six hundred twenty-eight million, four hundred seventy-two thousand, eight hundred thirty-two".