22528462080 has 288 divisors, whose sum is σ = 75205791360. Its totient is φ = 5740134400.

The previous prime is 22528462049. The next prime is 22528462081. The reversal of 22528462080 is 8026482522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22528462081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11246359 + ... + 11248361.

It is an arithmetic number, because the mean of its divisors is an integer number (261131220).

Almost surely, 2^22528462080 is an apocalyptic number.

22528462080 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 22528462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37602895680).

22528462080 is an abundant number, since it is smaller than the sum of its proper divisors (52677329280).

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

22528462080 is a wasteful number, since it uses less digits than its factorization.

22528462080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 22528462080 in words is "twenty-two billion, five hundred twenty-eight million, four hundred sixty-two thousand, eighty".