12728143848 has 256 divisors, whose sum is σ = 40061952000. Its totient is φ = 3285725184.

The previous prime is 12728143823. The next prime is 12728143859. The reversal of 12728143848 is 84834182721.

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

It is a junction number, because it is equal to n+sod(n) for n = 12728143797 and 12728143806.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19794615 + ... + 19795257.

It is an arithmetic number, because the mean of its divisors is an integer number (156492000).

Almost surely, 2^12728143848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12728143848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20030976000).

12728143848 is an abundant number, since it is smaller than the sum of its proper divisors (27333808152).

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

12728143848 is a wasteful number, since it uses less digits than its factorization.

12728143848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 940 counting only the distinct ones).

The product of its digits is 688128, while the sum is 48.

The spelling of 12728143848 in words is "twelve billion, seven hundred twenty-eight million, one hundred forty-three thousand, eight hundred forty-eight".