12728448 has 128 divisors (see below), whose sum is σ = 39168000. Its totient is φ = 4064256.

The previous prime is 12728447. The next prime is 12728479. The reversal of 12728448 is 84482721.

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

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 (12728447) 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 15 ways as a sum of consecutive naturals, for example, 100161 + ... + 100287.

It is an arithmetic number, because the mean of its divisors is an integer number (306000).

Almost surely, 2^12728448 is an apocalyptic number.

12728448 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 12728448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19584000).

12728448 is an abundant number, since it is smaller than the sum of its proper divisors (26439552).

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

12728448 is a wasteful number, since it uses less digits than its factorization.

12728448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 161 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 12728448 is about 3567.6950542332. The cubic root of 12728448 is about 233.4847307701.

The spelling of 12728448 in words is "twelve million, seven hundred twenty-eight thousand, four hundred forty-eight".