22282763328 has 252 divisors, whose sum is σ = 78669311292. Its totient is φ = 5991874560.

The previous prime is 22282763299. The next prime is 22282763333. The reversal of 22282763328 is 82336728222.

22282763328 is a `hidden beast` number, since 2 + 2 + 2 + 8 + 2 + 7 + 633 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10025616384 + 12257146944 = 100128^2 + 110712^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 456588 + ... + 503028.

Almost surely, 2^22282763328 is an apocalyptic number.

22282763328 is a gapful number since it is divisible by the number (28) 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 22282763328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39334655646).

22282763328 is an abundant number, since it is smaller than the sum of its proper divisors (56386547964).

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

22282763328 is a wasteful number, since it uses less digits than its factorization.

22282763328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46490 (or 46470 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 22282763328 in words is "twenty-two billion, two hundred eighty-two million, seven hundred sixty-three thousand, three hundred twenty-eight".