13028938000 has 160 divisors (see below), whose sum is σ = 34057007712. Its totient is φ = 4792320000.

The previous prime is 13028937991. The next prime is 13028938033. The reversal of 13028938000 is 83982031.

It can be written as a sum of positive squares in 16 ways, for example, as 11125186576 + 1903751424 = 105476^2 + 43632^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8137200 + ... + 8138800.

Almost surely, 2^13028938000 is an apocalyptic number.

13028938000 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 13028938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17028503856).

13028938000 is an abundant number, since it is smaller than the sum of its proper divisors (21028069712).

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

13028938000 is a wasteful number, since it uses less digits than its factorization.

13028938000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 13028938000 in words is "thirteen billion, twenty-eight million, nine hundred thirty-eight thousand".