82193328 has 120 divisors (see below), whose sum is σ = 266727968. Its totient is φ = 23141376.

The previous prime is 82193299. The next prime is 82193333. The reversal of 82193328 is 82339128.

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 = 82193292 and 82193301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73026 + ... + 74142.

Almost surely, 2^82193328 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 82193328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133363984).

82193328 is an abundant number, since it is smaller than the sum of its proper divisors (184534640).

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

82193328 is a wasteful number, since it uses less digits than its factorization.

82193328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1202 counting only the distinct ones).

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

The square root of 82193328 is about 9066.0536067244. The cubic root of 82193328 is about 434.7893074006.

It can be divided in two parts, 821 and 93328, that added together give a palindrome (94149).

The spelling of 82193328 in words is "eighty-two million, one hundred ninety-three thousand, three hundred twenty-eight".