22815897728 has 120 divisors (see below), whose sum is σ = 49872405555. Its totient is φ = 10397117952.

The previous prime is 22815897703. The next prime is 22815897749. The reversal of 22815897728 is 82779851822.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 399424 + 22815498304 = 632^2 + 151048^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=106808.

It is a Duffinian number.

Its product of digits (9031680) is a multiple of the sum of its prime factors (224).

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 14 ways as a sum of consecutive naturals, for example, 288808793 + ... + 288808871.

Almost surely, 2^22815897728 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 22815897728

22815897728 is an abundant number, since it is smaller than the sum of its proper divisors (27056507827).

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

22815897728 is an frugal number, since it uses more digits than its factorization.

22815897728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 94 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 59.

The spelling of 22815897728 in words is "twenty-two billion, eight hundred fifteen million, eight hundred ninety-seven thousand, seven hundred twenty-eight".