10982272 has 96 divisors (see below), whose sum is σ = 27209520. Its totient is φ = 4386816.

The previous prime is 10982267. The next prime is 10982273. The reversal of 10982272 is 27228901.

It is a super-2 number, since 2×10982272² = 241220596563968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10982273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106573 + ... + 106675.

Almost surely, 2^10982272 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 10982272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13604760).

10982272 is an abundant number, since it is smaller than the sum of its proper divisors (16227248).

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

10982272 is a wasteful number, since it uses less digits than its factorization.

10982272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 10982272 is about 3313.9511161150. The cubic root of 10982272 is about 222.2784699098.

The spelling of 10982272 in words is "ten million, nine hundred eighty-two thousand, two hundred seventy-two".