10811328 has 56 divisors (see below), whose sum is σ = 31211520. Its totient is φ = 3275520.

The previous prime is 10811327. The next prime is 10811341. The reversal of 10811328 is 82311801.

10811328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10811298 and 10811307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10811327) 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, 448 + ... + 4671.

Almost surely, 2^10811328 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 10811328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15605760).

10811328 is an abundant number, since it is smaller than the sum of its proper divisors (20400192).

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

10811328 is a wasteful number, since it uses less digits than its factorization.

10811328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5145 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 10811328 is about 3288.0583936421. The cubic root of 10811328 is about 221.1191457079.

Subtracting from 10811328 its product of nonzero digits (384), we obtain a square (10810944 = 3288²).

The spelling of 10811328 in words is "ten million, eight hundred eleven thousand, three hundred twenty-eight".