13328001792 has 432 divisors, whose sum is σ = 46093279232. Its totient is φ = 3762339840.

The previous prime is 13328001779. The next prime is 13328001793. The reversal of 13328001792 is 29710082331.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×13328001792² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13328001793) 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 47 ways as a sum of consecutive naturals, for example, 55302792 + ... + 55303032.

Almost surely, 2^13328001792 is an apocalyptic number.

13328001792 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 13328001792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23046639616).

13328001792 is an abundant number, since it is smaller than the sum of its proper divisors (32765277440).

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

13328001792 is an equidigital number, since it uses as much as digits as its factorization.

13328001792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 13328001792 in words is "thirteen billion, three hundred twenty-eight million, one thousand, seven hundred ninety-two".