10882128 has 40 divisors (see below), whose sum is σ = 29337408. Its totient is φ = 3469312.

The previous prime is 10882121. The next prime is 10882129. The reversal of 10882128 is 82128801.

It is a junction number, because it is equal to n+sod(n) for n = 10882095 and 10882104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10882121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3825 + ... + 6032.

Almost surely, 2^10882128 is an apocalyptic number.

It is an amenable number.

10882128 is an abundant number, since it is smaller than the sum of its proper divisors (18455280).

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

10882128 is a wasteful number, since it uses less digits than its factorization.

10882128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9891 (or 9885 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 10882128 is about 3298.8070571041. The cubic root of 10882128 is about 221.6007758882.

The spelling of 10882128 in words is "ten million, eight hundred eighty-two thousand, one hundred twenty-eight".