82286388 has 48 divisors (see below), whose sum is σ = 214220160. Its totient is φ = 27315072.

The previous prime is 82286383. The next prime is 82286437. The reversal of 82286388 is 88368228.

82286388 is a `hidden beast` number, since 8 + 2 + 2 + 8 + 638 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82286381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26956 + ... + 29852.

It is an arithmetic number, because the mean of its divisors is an integer number (4462920).

Almost surely, 2^82286388 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82286388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107110080).

82286388 is an abundant number, since it is smaller than the sum of its proper divisors (131933772).

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

82286388 is a wasteful number, since it uses less digits than its factorization.

82286388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3165 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 82286388 is about 9071.1844871549. The cubic root of 82286388 is about 434.9533362548.

The spelling of 82286388 in words is "eighty-two million, two hundred eighty-six thousand, three hundred eighty-eight".