82211328 has 160 divisors (see below), whose sum is σ = 256977600. Its totient is φ = 25878528.

The previous prime is 82211281. The next prime is 82211329. The reversal of 82211328 is 82311228.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (82211329) 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, 262500 + ... + 262812.

It is an arithmetic number, because the mean of its divisors is an integer number (1606110).

Almost surely, 2^82211328 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 82211328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128488800).

82211328 is an abundant number, since it is smaller than the sum of its proper divisors (174766272).

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

82211328 is a wasteful number, since it uses less digits than its factorization.

82211328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 337 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 82211328 is about 9067.0462665633. The cubic root of 82211328 is about 434.8210441059.

The spelling of 82211328 in words is "eighty-two million, two hundred eleven thousand, three hundred twenty-eight".