22420283328 has 336 divisors, whose sum is σ = 70358568960. Its totient is φ = 6999519744.

The previous prime is 22420283317. The next prime is 22420283359. The reversal of 22420283328 is 82338202422.

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 = 22420283292 and 22420283301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79223475 + ... + 79223757.

Almost surely, 2^22420283328 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 22420283328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35179284480).

22420283328 is an abundant number, since it is smaller than the sum of its proper divisors (47938285632).

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

22420283328 is a wasteful number, since it uses less digits than its factorization.

22420283328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 22420283328 in words is "twenty-two billion, four hundred twenty million, two hundred eighty-three thousand, three hundred twenty-eight".