12728346624 has 432 divisors, whose sum is σ = 45333861300. Its totient is φ = 3418619904.

The previous prime is 12728346619. The next prime is 12728346647. The reversal of 12728346624 is 42664382721.

It is a happy number.

12728346624 is a `hidden beast` number, since 12 + 7 + 2 + 8 + 3 + 4 + 6 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12294374400 + 433972224 = 110880^2 + 20832^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12728346624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15353442 + ... + 15354270.

Almost surely, 2^12728346624 is an apocalyptic number.

12728346624 is a gapful number since it is divisible by the number (14) 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 12728346624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22666930650).

12728346624 is an abundant number, since it is smaller than the sum of its proper divisors (32605514676).

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

12728346624 is a wasteful number, since it uses less digits than its factorization.

12728346624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 858 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 12728346624 in words is "twelve billion, seven hundred twenty-eight million, three hundred forty-six thousand, six hundred twenty-four".