82728933 has 8 divisors (see below), whose sum is σ = 126063168. Its totient is φ = 47273664.

The previous prime is 82728917. The next prime is 82728937. The reversal of 82728933 is 33982728.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82728933 - 2⁴ = 82728917 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82728937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1969716 + ... + 1969757.

It is an arithmetic number, because the mean of its divisors is an integer number (15757896).

Almost surely, 2^82728933 is an apocalyptic number.

It is an amenable number.

82728933 is a deficient number, since it is larger than the sum of its proper divisors (43334235).

82728933 is a wasteful number, since it uses less digits than its factorization.

82728933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3939483.

The product of its digits is 145152, while the sum is 42.

The square root of 82728933 is about 9095.5446785775. The cubic root of 82728933 is about 435.7316844334.

It can be divided in two parts, 8272 and 8933, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 82728933 in words is "eighty-two million, seven hundred twenty-eight thousand, nine hundred thirty-three".