2831328 has 96 divisors (see below), whose sum is σ = 8618400. Its totient is φ = 903168.

The previous prime is 2831321. The next prime is 2831329. The reversal of 2831328 is 8231382.

2831328 is nontrivially palindromic in base 15.

2831328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2831321) 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 15 ways as a sum of consecutive naturals, for example, 25000 + ... + 25112.

It is an arithmetic number, because the mean of its divisors is an integer number (89775).

2^2831328 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 2831328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309200).

2831328 is an abundant number, since it is smaller than the sum of its proper divisors (5787072).

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

2831328 is a wasteful number, since it uses less digits than its factorization.

2831328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 2831328 is about 1682.6550448621. The cubic root of 2831328 is about 141.4696876388.

The spelling of 2831328 in words is "two million, eight hundred thirty-one thousand, three hundred twenty-eight".