2832048 has 60 divisors (see below), whose sum is σ = 8066448. Its totient is φ = 927360.

The previous prime is 2832041. The next prime is 2832073. The reversal of 2832048 is 8402382.

2832048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2832041) 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 11 ways as a sum of consecutive naturals, for example, 10086 + ... + 10362.

2^2832048 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 2832048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033224).

2832048 is an abundant number, since it is smaller than the sum of its proper divisors (5234400).

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

2832048 is a wasteful number, since it uses less digits than its factorization.

2832048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2832048 is about 1682.8689788572. The cubic root of 2832048 is about 141.4816784246.

The spelling of 2832048 in words is "two million, eight hundred thirty-two thousand, forty-eight".