13028163200 has 384 divisors, whose sum is σ = 37291363200. Its totient is φ = 4456857600.

The previous prime is 13028163193. The next prime is 13028163223. The reversal of 13028163200 is 236182031.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13028163200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41891045 + ... + 41891355.

It is an arithmetic number, because the mean of its divisors is an integer number (97112925).

Almost surely, 2^13028163200 is an apocalyptic number.

13028163200 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 13028163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18645681600).

13028163200 is an abundant number, since it is smaller than the sum of its proper divisors (24263200000).

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

13028163200 is a wasteful number, since it uses less digits than its factorization.

13028163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 13028163200 in words is "thirteen billion, twenty-eight million, one hundred sixty-three thousand, two hundred".