13005628328 has 64 divisors (see below), whose sum is σ = 30671982720. Its totient is φ = 5022259200.

The previous prime is 13005628313. The next prime is 13005628331. The reversal of 13005628328 is 82382650031.

It is a junction number, because it is equal to n+sod(n) for n = 13005628291 and 13005628300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23813 + ... + 163028.

It is an arithmetic number, because the mean of its divisors is an integer number (479249730).

Almost surely, 2^13005628328 is an apocalyptic number.

It is an amenable number.

13005628328 is an abundant number, since it is smaller than the sum of its proper divisors (17666354392).

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

13005628328 is a wasteful number, since it uses less digits than its factorization.

13005628328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186978 (or 186974 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 13005628328 in words is "thirteen billion, five million, six hundred twenty-eight thousand, three hundred twenty-eight".