82366328 has 32 divisors (see below), whose sum is σ = 172402560. Its totient is φ = 36566880.

The previous prime is 82366327. The next prime is 82366357.

It is a happy number.

82366328 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82366291 and 82366300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82366327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7100 + ... + 14667.

It is an arithmetic number, because the mean of its divisors is an integer number (5387580).

Almost surely, 2^82366328 is an apocalyptic number.

82366328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82366328 is an abundant number, since it is smaller than the sum of its proper divisors (90036232).

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

82366328 is a wasteful number, since it uses less digits than its factorization.

82366328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21827 (or 21823 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The square root of 82366328 is about 9075.5896778116. The cubic root of 82366328 is about 435.0941408968.

The spelling of 82366328 in words is "eighty-two million, three hundred sixty-six thousand, three hundred twenty-eight".