13728397424 has 60 divisors (see below), whose sum is σ = 30972725208. Its totient is φ = 5877648000.

The previous prime is 13728397421. The next prime is 13728397471. The reversal of 13728397424 is 42479382731.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13728397421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 815654 + ... + 832314.

Almost surely, 2^13728397424 is an apocalyptic number.

13728397424 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 13728397424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15486362604).

13728397424 is an abundant number, since it is smaller than the sum of its proper divisors (17244327784).

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

13728397424 is a wasteful number, since it uses less digits than its factorization.

13728397424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17734 (or 17721 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 50.

The spelling of 13728397424 in words is "thirteen billion, seven hundred twenty-eight million, three hundred ninety-seven thousand, four hundred twenty-four".