During a particular stage of the growth of a crop, the consumptive use of water is $2.8$ $\text{mm}$/day. The amount of water available in the soil is $50\%$ of the maximum depth of available water in the root zone. Consider the maximum root zone depth of the crop as $80$ $\text{mm}$ and the irrigation efficiency as $70\%$.
The interval between irrigation (in days) will be _______________. (round off to the nearest integer)