82288228 has 72 divisors (see below), whose sum is σ = 171132696. Its totient is φ = 34467840.

The previous prime is 82288223. The next prime is 82288237.

82288228 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 27646564 + 54641664 = 5258^2 + 7392^2 .

It is not an unprimeable number, because it can be changed into a prime (82288223) 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, 600576 + ... + 600712.

It is an arithmetic number, because the mean of its divisors is an integer number (2376843).

Almost surely, 2^82288228 is an apocalyptic number.

It is an amenable number.

82288228 is an abundant number, since it is smaller than the sum of its proper divisors (88844468).

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

82288228 is a wasteful number, since it uses less digits than its factorization.

82288228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 240 counting only the distinct ones).

The product of its digits is 65536, while the sum is 40.

The square root of 82288228 is about 9071.2859066397. The cubic root of 82288228 is about 434.9565782174.

The spelling of 82288228 in words is "eighty-two million, two hundred eighty-eight thousand, two hundred twenty-eight".