To find the total storage of the phone after adding the additional bytes, we start with the initial storage and add the extra bytes:
Initial storage: \[ 1.28 \times 10^{11} \text{ bytes} \]
Additional storage: \[ 384,000,000,000 \text{ bytes} = 3.84 \times 10^{11} \text{ bytes} \]
Now, we add the two amounts:
\[ 1.28 \times 10^{11} + 3.84 \times 10^{11} = (1.28 + 3.84) \times 10^{11} = 5.12 \times 10^{11} \text{ bytes} \]
Thus, the total storage of your phone after buying the additional bytes would be:
\[ \boxed{5.12 \times 10^{11}} \]