2832384 has 48 divisors (see below), whose sum is σ = 7567560. Its totient is φ = 942080.

The previous prime is 2832383. The next prime is 2832391. The reversal of 2832384 is 4832382.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2 + 8⁵ + 3 + 2¹⁹ + 3¹¹ + 8⁷ + 4⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2832383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5914 + ... + 6374.

2^2832384 is an apocalyptic number.

2832384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2832384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783780).

2832384 is an abundant number, since it is smaller than the sum of its proper divisors (4735176).

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

2832384 is an equidigital number, since it uses as much as digits as its factorization.

2832384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 466 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 2832384 is about 1682.9688054150. The cubic root of 2832384 is about 141.4872734291.

The spelling of 2832384 in words is "two million, eight hundred thirty-two thousand, three hundred eighty-four".