9282880 has 28 divisors (see below), whose sum is σ = 22105620. Its totient is φ = 3713024.

The previous prime is 9282877. The next prime is 9282881. The reversal of 9282880 is 882829.

It can be written as a sum of positive squares in 2 ways, for example, as 2143296 + 7139584 = 1464^2 + 2672^2 .

It is a super-2 number, since 2×9282880² = 172343722188800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9282881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14185 + ... + 14824.

Almost surely, 2^9282880 is an apocalyptic number.

It is an amenable number.

9282880 is an abundant number, since it is smaller than the sum of its proper divisors (12822740).

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

9282880 is a wasteful number, since it uses less digits than its factorization.

9282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29026 (or 29016 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 9282880 is about 3046.7819088343. The cubic root of 9282880 is about 210.1652516355.

The spelling of 9282880 in words is "nine million, two hundred eighty-two thousand, eight hundred eighty".