13628329120 has 384 divisors, whose sum is σ = 40673525760. Its totient is φ = 4210237440.

The previous prime is 13628329109. The next prime is 13628329147. The reversal of 13628329120 is 2192382631.

It is a self number, because there is not a number n which added to its sum of digits gives 13628329120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48156499 + ... + 48156781.

It is an arithmetic number, because the mean of its divisors is an integer number (105920640).

Almost surely, 2^13628329120 is an apocalyptic number.

13628329120 is a gapful number since it is divisible by the number (10) 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 13628329120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20336762880).

13628329120 is an abundant number, since it is smaller than the sum of its proper divisors (27045196640).

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

13628329120 is a wasteful number, since it uses less digits than its factorization.

13628329120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 13628329120 in words is "thirteen billion, six hundred twenty-eight million, three hundred twenty-nine thousand, one hundred twenty".