10882032 has 80 divisors (see below), whose sum is σ = 32497920. Its totient is φ = 3073536.

The previous prime is 10882031. The next prime is 10882049. The reversal of 10882032 is 23028801.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10881993 and 10882011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10882031) 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 15 ways as a sum of consecutive naturals, for example, 46588 + ... + 46820.

It is an arithmetic number, because the mean of its divisors is an integer number (406224).

Almost surely, 2^10882032 is an apocalyptic number.

10882032 is a gapful number since it is divisible by the number (12) 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 10882032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248960).

10882032 is an abundant number, since it is smaller than the sum of its proper divisors (21615888).

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

10882032 is a wasteful number, since it uses less digits than its factorization.

10882032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10882032 is about 3298.7925063574. The cubic root of 10882032 is about 221.6001242467.

The spelling of 10882032 in words is "ten million, eight hundred eighty-two thousand, thirty-two".