10983728 has 40 divisors (see below), whose sum is σ = 24477600. Its totient is φ = 4677120.

The previous prime is 10983727. The next prime is 10983737. The reversal of 10983728 is 82738901.

It is a junction number, because it is equal to n+sod(n) for n = 10983691 and 10983700.

It is not an unprimeable number, because it can be changed into a prime (10983727) 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 7 ways as a sum of consecutive naturals, for example, 31298 + ... + 31646.

It is an arithmetic number, because the mean of its divisors is an integer number (611940).

Almost surely, 2^10983728 is an apocalyptic number.

It is an amenable number.

10983728 is an abundant number, since it is smaller than the sum of its proper divisors (13493872).

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

10983728 is a wasteful number, since it uses less digits than its factorization.

10983728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 10983728 is about 3314.1707861847. The cubic root of 10983728 is about 222.2882925024.

It can be divided in two parts, 10983 and 728, that added together give a palindrome (11711).

The spelling of 10983728 in words is "ten million, nine hundred eighty-three thousand, seven hundred twenty-eight".