22352329728 has 220 divisors, whose sum is σ = 67083547080. Its totient is φ = 7444058112.

The previous prime is 22352329673. The next prime is 22352329787. The reversal of 22352329728 is 82792325322.

22352329728 is a `hidden beast` number, since 2 + 2 + 352 + 3 + 297 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20154838 + ... + 20155946.

It is an arithmetic number, because the mean of its divisors is an integer number (304925214).

Almost surely, 2^22352329728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22352329728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33541773540).

22352329728 is an abundant number, since it is smaller than the sum of its proper divisors (44731217352).

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

22352329728 is an frugal number, since it uses more digits than its factorization.

22352329728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1114 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 22352329728 in words is "twenty-two billion, three hundred fifty-two million, three hundred twenty-nine thousand, seven hundred twenty-eight".