820282728 has 32 divisors (see below), whose sum is σ = 2094341760. Its totient is φ = 267609600.

The previous prime is 820282721. The next prime is 820282733. The reversal of 820282728 is 827282028.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (820282721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 362473 + ... + 364728.

It is an arithmetic number, because the mean of its divisors is an integer number (65448180).

Almost surely, 2^820282728 is an apocalyptic number.

It is an amenable number.

820282728 is an abundant number, since it is smaller than the sum of its proper divisors (1274059032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

820282728 is a wasteful number, since it uses less digits than its factorization.

820282728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727257 (or 727253 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 820282728 is about 28640.5783461158. The cubic root of 820282728 is about 936.0977233785.

The spelling of 820282728 in words is "eight hundred twenty million, two hundred eighty-two thousand, seven hundred twenty-eight".