13728205296 has 360 divisors, whose sum is σ = 45718480080. Its totient is φ = 3972354048.

The previous prime is 13728205291. The next prime is 13728205297. The reversal of 13728205296 is 69250282731.

13728205296 is a `hidden beast` number, since 137 + 28 + 205 + 296 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13728205291) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11169610 + ... + 11170838.

It is an arithmetic number, because the mean of its divisors is an integer number (126995778).

Almost surely, 2^13728205296 is an apocalyptic number.

13728205296 is a gapful number since it is divisible by the number (16) 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 13728205296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22859240040).

13728205296 is an abundant number, since it is smaller than the sum of its proper divisors (31990274784).

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

13728205296 is a wasteful number, since it uses less digits than its factorization.

13728205296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

It can be divided in two parts, 13728 and 205296, that added together give a square (219024 = 468²).

The spelling of 13728205296 in words is "thirteen billion, seven hundred twenty-eight million, two hundred five thousand, two hundred ninety-six".