82800284 has 24 divisors (see below), whose sum is σ = 169454208. Its totient is φ = 34660080.

The previous prime is 82800283. The next prime is 82800301. The reversal of 82800284 is 48200828.

It is a self number, because there is not a number n which added to its sum of digits gives 82800284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82800283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33182 + ... + 35589.

It is an arithmetic number, because the mean of its divisors is an integer number (7060592).

Almost surely, 2^82800284 is an apocalyptic number.

It is an amenable number.

82800284 is an abundant number, since it is smaller than the sum of its proper divisors (86653924).

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

82800284 is a wasteful number, since it uses less digits than its factorization.

82800284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68825 (or 68823 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 82800284 is about 9099.4661381863. The cubic root of 82800284 is about 435.8569165481.

The spelling of 82800284 in words is "eighty-two million, eight hundred thousand, two hundred eighty-four".