13325221728 has 288 divisors, whose sum is σ = 47779647552. Its totient is φ = 3428352000.

The previous prime is 13325221697. The next prime is 13325221733. The reversal of 13325221728 is 82712252331.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 13325221692 and 13325221701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1068328 + ... + 1080728.

It is an arithmetic number, because the mean of its divisors is an integer number (165901554).

Almost surely, 2^13325221728 is an apocalyptic number.

13325221728 is a gapful number since it is divisible by the number (18) 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 13325221728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23889823776).

13325221728 is an abundant number, since it is smaller than the sum of its proper divisors (34454425824).

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

13325221728 is a wasteful number, since it uses less digits than its factorization.

13325221728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12478 (or 12467 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The spelling of 13325221728 in words is "thirteen billion, three hundred twenty-five million, two hundred twenty-one thousand, seven hundred twenty-eight".