To find the total storage capacity of the mobile phone after buying the additional bytes, we need to add the two quantities together:
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The original storage of the mobile phone is: \[ 1.28 \times 10^{11} \text{ bytes} \]
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The additional storage you can buy is: \[ 384,000,000,000 \text{ bytes} = 3.84 \times 10^{11} \text{ bytes} \]
Now, we add these two values together: \[ 1.28 \times 10^{11} + 3.84 \times 10^{11} \]
To add these, we combine the coefficients since they are both in the same power of 10: \[ (1.28 + 3.84) \times 10^{11} = 5.12 \times 10^{11} \]
Therefore, the total storage of your phone after buying the additional bytes would be: \[ \boxed{5.12 \times 10^{11}} \text{ bytes} \]