13738763428728 has 128 divisors (see below), whose sum is σ = 37556050560000. Its totient is φ = 4162786048512.

The previous prime is 13738763428721. The next prime is 13738763428739. The reversal of 13738763428728 is 82782436783731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13738763428721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8606238 + ... + 10076946.

It is an arithmetic number, because the mean of its divisors is an integer number (293406645000).

Almost surely, 2^{13738763428728} 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 13738763428728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18778025280000).

13738763428728 is an abundant number, since it is smaller than the sum of its proper divisors (23817287131272).

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

13738763428728 is a wasteful number, since it uses less digits than its factorization.

13738763428728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471189 (or 1471185 counting only the distinct ones).

The product of its digits is 455196672, while the sum is 69.

The spelling of 13738763428728 in words is "thirteen trillion, seven hundred thirty-eight billion, seven hundred sixty-three million, four hundred twenty-eight thousand, seven hundred twenty-eight".