It is not possible to know exactly what day you conceived. In determining your due date doctors add 40 weeks to the first day of your last menstrual period. But, you are most likely to have conceived in the middle of your cycle. So, to estimate the date of conception, subtract 40 weeks from April 28th and add 14 days.
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I will assume you are talking about April 20th 2012. If so, your estimated conception date was July 28th 2011. However, this date is give or take a few days. It also depends on your ovulation date.
Which year? Roughly between August 22nd and August 28th, give or take a few days