13828340736 has 528 divisors, whose sum is σ = 50214318336. Its totient is φ = 3710582784.

The previous prime is 13828340707. The next prime is 13828340759. The reversal of 13828340736 is 63704382831.

13828340736 is a `hidden beast` number, since 138 + 2 + 83 + 407 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13828340691 and 13828340700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29610775 + ... + 29611241.

Almost surely, 2^13828340736 is an apocalyptic number.

13828340736 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 13828340736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25107159168).

13828340736 is an abundant number, since it is smaller than the sum of its proper divisors (36385977600).

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

13828340736 is an equidigital number, since it uses as much as digits as its factorization.

13828340736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 13828340736 in words is "thirteen billion, eight hundred twenty-eight million, three hundred forty thousand, seven hundred thirty-six".