82288584 has 96 divisors (see below), whose sum is σ = 260694720. Its totient is φ = 22958208.

The previous prime is 82288571. The next prime is 82288589. The reversal of 82288584 is 48588228.

It is a super-2 number, since 2×82288584² = 13542822113450112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (82288589) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19774 + ... + 23570.

It is an arithmetic number, because the mean of its divisors is an integer number (2715570).

Almost surely, 2^82288584 is an apocalyptic number.

82288584 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82288584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130347360).

82288584 is an abundant number, since it is smaller than the sum of its proper divisors (178406136).

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

82288584 is a wasteful number, since it uses less digits than its factorization.

82288584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3859 (or 3852 counting only the distinct ones).

The product of its digits is 327680, while the sum is 45.

The square root of 82288584 is about 9071.3055289743. The cubic root of 82288584 is about 434.9572054611.

The spelling of 82288584 in words is "eighty-two million, two hundred eighty-eight thousand, five hundred eighty-four".