10982752 has 48 divisors (see below), whose sum is σ = 24195024. Its totient is φ = 4864000.

The previous prime is 10982749. The next prime is 10982771. The reversal of 10982752 is 25728901.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14052 + ... + 14812.

It is an arithmetic number, because the mean of its divisors is an integer number (504063).

Almost surely, 2^10982752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10982752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12097512).

10982752 is an abundant number, since it is smaller than the sum of its proper divisors (13212272).

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

10982752 is a wasteful number, since it uses less digits than its factorization.

10982752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 10982752 is about 3314.0235364282. The cubic root of 10982752 is about 222.2817082231.

The spelling of 10982752 in words is "ten million, nine hundred eighty-two thousand, seven hundred fifty-two".