2832648 has 64 divisors (see below), whose sum is σ = 8722560. Its totient is φ = 746496.

The previous prime is 2832637. The next prime is 2832667. The reversal of 2832648 is 8462382.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1536 + ... + 2832.

It is an arithmetic number, because the mean of its divisors is an integer number (136290).

2^2832648 is an apocalyptic number.

2832648 is a gapful number since it is divisible by the number (28) 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 2832648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4361280).

2832648 is an abundant number, since it is smaller than the sum of its proper divisors (5889912).

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

2832648 is a wasteful number, since it uses less digits than its factorization.

2832648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1322 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 2832648 is about 1683.0472364138. The cubic root of 2832648 is about 141.4916691937.

The spelling of 2832648 in words is "two million, eight hundred thirty-two thousand, six hundred forty-eight".