10882008 has 48 divisors (see below), whose sum is σ = 29624400. Its totient is φ = 3608640.

The previous prime is 10881991. The next prime is 10882009. The reversal of 10882008 is 80028801.

It is a super-2 number, since 2×10882008² = 236836196224128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10882009) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 25638 + ... + 26058.

It is an arithmetic number, because the mean of its divisors is an integer number (617175).

Almost surely, 2^10882008 is an apocalyptic number.

10882008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10882008 is an abundant number, since it is smaller than the sum of its proper divisors (18742392).

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

10882008 is a wasteful number, since it uses less digits than its factorization.

10882008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 10882008 is about 3298.7888686607. The cubic root of 10882008 is about 221.5999613358.

The spelling of 10882008 in words is "ten million, eight hundred eighty-two thousand, eight".