12908448 has 144 divisors (see below), whose sum is σ = 44291520. Its totient is φ = 3483648.

The previous prime is 12908447. The next prime is 12908453. The reversal of 12908448 is 84480921.

12908448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12908447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38136 + ... + 38472.

It is an arithmetic number, because the mean of its divisors is an integer number (307580).

Almost surely, 2^12908448 is an apocalyptic number.

12908448 is a gapful number since it is divisible by the number (18) 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 12908448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22145760).

12908448 is an abundant number, since it is smaller than the sum of its proper divisors (31383072).

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

12908448 is a wasteful number, since it uses less digits than its factorization.

12908448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 12908448 is about 3592.8328655811. The cubic root of 12908448 is about 234.5801951261.

The spelling of 12908448 in words is "twelve million, nine hundred eight thousand, four hundred forty-eight".