By multiplying the ten numbers 19, 20, 21, 22, 23, 24, 25, 26, 27, and 28, several different products can be obtained. How many odd numbers are there in these products?
用19、20、21、22、23、24、25、26、27、28这十个数两两相乘，可以得到若干个不同的积，这些积中有多少个奇数？
<gadget id="calculator">2 * 1</gadget>
<output>2</output>

<gadget id="calculator">4 / 2</gadget>
<output>2</output>

<gadget id="calculator">5 * 2</gadget>
<output>10</output>

<result>10</result>