13028938032 has 160 divisors (see below), whose sum is σ = 37437603840. Its totient is φ = 3871560960.

The previous prime is 13028937991. The next prime is 13028938033. The reversal of 13028938032 is 23083982031.

It is not an unprimeable number, because it can be changed into a prime (13028938033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5817969 + ... + 5820207.

It is an arithmetic number, because the mean of its divisors is an integer number (233985024).

Almost surely, 2^13028938032 is an apocalyptic number.

13028938032 is a gapful number since it is divisible by the number (12) 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 13028938032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18718801920).

13028938032 is an abundant number, since it is smaller than the sum of its proper divisors (24408665808).

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

13028938032 is a wasteful number, since it uses less digits than its factorization.

13028938032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 13028938032 in words is "thirteen billion, twenty-eight million, nine hundred thirty-eight thousand, thirty-two".