22628328480 has 480 divisors, whose sum is σ = 83203642368. Its totient is φ = 5785344000.

The previous prime is 22628328451. The next prime is 22628328599. The reversal of 22628328480 is 8482382622.

22628328480 is a `hidden beast` number, since 226 + 28 + 328 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×22628328480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60665574 + ... + 60665946.

Almost surely, 2^22628328480 is an apocalyptic number.

22628328480 is a gapful number since it is divisible by the number (20) 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 22628328480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41601821184).

22628328480 is an abundant number, since it is smaller than the sum of its proper divisors (60575313888).

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

22628328480 is a wasteful number, since it uses less digits than its factorization.

22628328480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 22628328480 in words is "twenty-two billion, six hundred twenty-eight million, three hundred twenty-eight thousand, four hundred eighty".