13628983368 has 576 divisors, whose sum is σ = 49187589120. Its totient is φ = 3055104000.

The previous prime is 13628983349. The next prime is 13628983369. The reversal of 13628983368 is 86338982631.

It is not an unprimeable number, because it can be changed into a prime (13628983369) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 90258093 + ... + 90258243.

It is an arithmetic number, because the mean of its divisors is an integer number (85395120).

Almost surely, 2^13628983368 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 13628983368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24593794560).

13628983368 is an abundant number, since it is smaller than the sum of its proper divisors (35558605752).

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

13628983368 is a wasteful number, since it uses less digits than its factorization.

13628983368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 204 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 57.

The spelling of 13628983368 in words is "thirteen billion, six hundred twenty-eight million, nine hundred eighty-three thousand, three hundred sixty-eight".