82333328 has 60 divisors (see below), whose sum is σ = 202455792. Its totient is φ = 32074560.

The previous prime is 82333319. The next prime is 82333333.

82333328 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82333294 and 82333303.

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, 3851 + ... + 13397.

Almost surely, 2^82333328 is an apocalyptic number.

82333328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82333328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101227896).

82333328 is an abundant number, since it is smaller than the sum of its proper divisors (120122464).

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

82333328 is a wasteful number, since it uses less digits than its factorization.

82333328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9580 (or 9567 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 82333328 is about 9073.7714319901. The cubic root of 82333328 is about 435.0360264345.

The spelling of 82333328 in words is "eighty-two million, three hundred thirty-three thousand, three hundred twenty-eight".