82284888 has 32 divisors (see below), whose sum is σ = 235100160. Its totient is φ = 23509920.

The previous prime is 82284887. The next prime is 82284889. The reversal of 82284888 is 88848228.

It is an interprime number because it is at equal distance from previous prime (82284887) and next prime (82284889).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82284887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244728 + ... + 245063.

It is an arithmetic number, because the mean of its divisors is an integer number (7346880).

Almost surely, 2^82284888 is an apocalyptic number.

It is an amenable number.

82284888 is an abundant number, since it is smaller than the sum of its proper divisors (152815272).

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

82284888 is a wasteful number, since it uses less digits than its factorization.

82284888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489807 (or 489803 counting only the distinct ones).

The product of its digits is 524288, while the sum is 48.

The square root of 82284888 is about 9071.1018073881. The cubic root of 82284888 is about 434.9506933148.

The spelling of 82284888 in words is "eighty-two million, two hundred eighty-four thousand, eight hundred eighty-eight".