82238328 has 80 divisors (see below), whose sum is σ = 231957000. Its totient is φ = 27221184.

The previous prime is 82238323. The next prime is 82238329. The reversal of 82238328 is 82383228.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 82238292 and 82238301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82238323) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 115638 + ... + 116346.

Almost surely, 2^82238328 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 82238328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115978500).

82238328 is an abundant number, since it is smaller than the sum of its proper divisors (149718672).

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

82238328 is a wasteful number, since it uses less digits than its factorization.

82238328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 893 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 82238328 is about 9068.5350525870. The cubic root of 82238328 is about 434.8686404793.

The spelling of 82238328 in words is "eighty-two million, two hundred thirty-eight thousand, three hundred twenty-eight".