13028587728 has 160 divisors (see below), whose sum is σ = 38304215040. Its totient is φ = 3785633280.

The previous prime is 13028587727. The next prime is 13028587777. The reversal of 13028587728 is 82778582031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13028587723) 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, 1128063 + ... + 1139553.

It is an arithmetic number, because the mean of its divisors is an integer number (239401344).

Almost surely, 2^13028587728 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 13028587728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19152107520).

13028587728 is an abundant number, since it is smaller than the sum of its proper divisors (25275627312).

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

13028587728 is a wasteful number, since it uses less digits than its factorization.

13028587728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11617 (or 11611 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 13028587728 in words is "thirteen billion, twenty-eight million, five hundred eighty-seven thousand, seven hundred twenty-eight".