13028938020 has 384 divisors, whose sum is σ = 50091417600. Its totient is φ = 2744492544.

The previous prime is 13028937991. The next prime is 13028938033. The reversal of 13028938020 is 2083982031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2654889 + ... + 2659791.

It is an arithmetic number, because the mean of its divisors is an integer number (130446400).

Almost surely, 2^13028938020 is an apocalyptic number.

13028938020 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 13028938020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25045708800).

13028938020 is an abundant number, since it is smaller than the sum of its proper divisors (37062479580).

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

13028938020 is a wasteful number, since it uses less digits than its factorization.

13028938020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4984 (or 4976 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13028938020 in words is "thirteen billion, twenty-eight million, nine hundred thirty-eight thousand, twenty".