13828983168 has 256 divisors, whose sum is σ = 49321520640. Its totient is φ = 3315548160.

The previous prime is 13828983121. The next prime is 13828983169. The reversal of 13828983168 is 86138982831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13828983169) 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, 366396 + ... + 402372.

It is an arithmetic number, because the mean of its divisors is an integer number (192662190).

Almost surely, 2^13828983168 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 13828983168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24660760320).

13828983168 is an abundant number, since it is smaller than the sum of its proper divisors (35492537472).

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

13828983168 is a wasteful number, since it uses less digits than its factorization.

13828983168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36025 (or 36013 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 57.

The spelling of 13828983168 in words is "thirteen billion, eight hundred twenty-eight million, nine hundred eighty-three thousand, one hundred sixty-eight".