82228288 has 28 divisors (see below), whose sum is σ = 167156892. Its totient is φ = 40110080.

The previous prime is 82228283. The next prime is 82228291. The reversal of 82228288 is 88282228.

It can be written as a sum of positive squares in 2 ways, for example, as 41370624 + 40857664 = 6432^2 + 6392^2 .

It is a super-2 number, since 2×82228288² = 13522982694821888, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 82228288.

It is not an unprimeable number, because it can be changed into a prime (82228283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13045 + ... + 18292.

It is an arithmetic number, because the mean of its divisors is an integer number (5969889).

Almost surely, 2^82228288 is an apocalyptic number.

It is an amenable number.

82228288 is an abundant number, since it is smaller than the sum of its proper divisors (84928604).

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

82228288 is a wasteful number, since it uses less digits than its factorization.

82228288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31390 (or 31380 counting only the distinct ones).

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

The square root of 82228288 is about 9067.9814732938. The cubic root of 82228288 is about 434.8509428965.

The spelling of 82228288 in words is "eighty-two million, two hundred twenty-eight thousand, two hundred eighty-eight".