13793221728 has 720 divisors, whose sum is σ = 51098493600. Its totient is φ = 3613040640.

The previous prime is 13793221669. The next prime is 13793221769. The reversal of 13793221728 is 82712239731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 69312573 + ... + 69312771.

It is an arithmetic number, because the mean of its divisors is an integer number (70970130).

Almost surely, 2^13793221728 is an apocalyptic number.

13793221728 is a gapful number since it is divisible by the number (18) 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 13793221728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25549246800).

13793221728 is an abundant number, since it is smaller than the sum of its proper divisors (37305271872).

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

13793221728 is a wasteful number, since it uses less digits than its factorization.

13793221728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 245 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 13793221728 in words is "thirteen billion, seven hundred ninety-three million, two hundred twenty-one thousand, seven hundred twenty-eight".