82339128 has 48 divisors (see below), whose sum is σ = 223423200. Its totient is φ = 27394560.

The previous prime is 82339123. The next prime is 82339199. The reversal of 82339128 is 82193328.

It is a happy number.

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 = 82339092 and 82339101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82339123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66273 + ... + 67503.

It is an arithmetic number, because the mean of its divisors is an integer number (4654650).

Almost surely, 2^82339128 is an apocalyptic number.

It is an amenable number.

82339128 is an abundant number, since it is smaller than the sum of its proper divisors (141084072).

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

82339128 is a wasteful number, since it uses less digits than its factorization.

82339128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2165 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 82339128 is about 9074.0910288579. The cubic root of 82339128 is about 435.0462416161.

The spelling of 82339128 in words is "eighty-two million, three hundred thirty-nine thousand, one hundred twenty-eight".