2291328 has 160 divisors (see below), whose sum is σ = 7775460. Its totient is φ = 663552.

The previous prime is 2291327. The next prime is 2291347. The reversal of 2291328 is 8231922.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2286144 + 5184 = 1512^2 + 72^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2291327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134776 + ... + 134792.

2^2291328 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 2291328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887730).

2291328 is an abundant number, since it is smaller than the sum of its proper divisors (5484132).

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

2291328 is a wasteful number, since it uses less digits than its factorization.

2291328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 35 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2291328 is about 1513.7133149973. The cubic root of 2291328 is about 131.8345033370.

2291328 divided by its product of digits (1728) gives a triangular number (1326 = T₅₁).

The spelling of 2291328 in words is "two million, two hundred ninety-one thousand, three hundred twenty-eight".