82268928 has 108 divisors (see below), whose sum is σ = 271140688. Its totient is φ = 23500800.

The previous prime is 82268909. The next prime is 82268971. The reversal of 82268928 is 82986228.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13578 + ... + 18678.

Almost surely, 2^82268928 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 82268928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135570344).

82268928 is an abundant number, since it is smaller than the sum of its proper divisors (188871760).

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

82268928 is a wasteful number, since it uses less digits than its factorization.

82268928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130 (or 5113 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 82268928 is about 9070.2220479986. Note that the first 3 decimals coincide. The cubic root of 82268928 is about 434.9225704436.

The spelling of 82268928 in words is "eighty-two million, two hundred sixty-eight thousand, nine hundred twenty-eight".