To find the total storage of the mobile phone after buying the additional bytes, you simply add the initial storage to the additional storage.
The initial storage is: \[ 1.28 \times 10^{11} \text{ bytes} \]
The additional storage is: \[ 384,000,000,000 \text{ bytes} = 3.84 \times 10^{11} \text{ bytes} \]
Now, let's add the two amounts: \[ 1.28 \times 10^{11} + 3.84 \times 10^{11} = (1.28 + 3.84) \times 10^{11} = 5.12 \times 10^{11} \text{ bytes} \]
So, if you buy the additional bytes, your phone would have: \[ \boxed{5.12 \times 10^{11}} \]
This corresponds to the option: 5.12×10^11.