2824448 has 72 divisors (see below), whose sum is σ = 6622560. Its totient is φ = 1187840.

The previous prime is 2824447. The next prime is 2824463. The reversal of 2824448 is 8444282.

2824448 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2824447) 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 7 ways as a sum of consecutive naturals, for example, 47843 + ... + 47901.

It is an arithmetic number, because the mean of its divisors is an integer number (91980).

2^2824448 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 2824448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311280).

2824448 is an abundant number, since it is smaller than the sum of its proper divisors (3798112).

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

2824448 is a wasteful number, since it uses less digits than its factorization.

2824448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 89 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

The square root of 2824448 is about 1680.6094132784. The cubic root of 2824448 is about 141.3550063674.

The spelling of 2824448 in words is "two million, eight hundred twenty-four thousand, four hundred forty-eight".