12824448 has 128 divisors (see below), whose sum is σ = 42040320. Its totient is φ = 3373056.

The previous prime is 12824447. The next prime is 12824453. The reversal of 12824448 is 84442821.

It is a tau number, because it is divible by the number of its divisors (128).

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 (12824447) 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, 34761 + ... + 35127.

It is an arithmetic number, because the mean of its divisors is an integer number (328440).

Almost surely, 2^12824448 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 12824448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21020160).

12824448 is an abundant number, since it is smaller than the sum of its proper divisors (29215872).

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

12824448 is a wasteful number, since it uses less digits than its factorization.

12824448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 392 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

The square root of 12824448 is about 3581.1238459456. The cubic root of 12824448 is about 234.0702543089.

The spelling of 12824448 in words is "twelve million, eight hundred twenty-four thousand, four hundred forty-eight".