1811328 has 64 divisors (see below), whose sum is σ = 4957200. Its totient is φ = 585728.

The previous prime is 1811323. The next prime is 1811347. The reversal of 1811328 is 8231181.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1811298 and 1811307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1811321) 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, 20308 + ... + 20396.

2^1811328 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 1811328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478600).

1811328 is an abundant number, since it is smaller than the sum of its proper divisors (3145872).

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

1811328 is an equidigital number, since it uses as much as digits as its factorization.

1811328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

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

The square root of 1811328 is about 1345.8558615246. The cubic root of 1811328 is about 121.8986886235.

The spelling of 1811328 in words is "one million, eight hundred eleven thousand, three hundred twenty-eight".