82766728 has 16 divisors (see below), whose sum is σ = 169295760. Its totient is φ = 37621200.

The previous prime is 82766713. The next prime is 82766753.

82766728 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 470178 + ... + 470353.

It is an arithmetic number, because the mean of its divisors is an integer number (10580985).

Almost surely, 2^82766728 is an apocalyptic number.

82766728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82766728 is an abundant number, since it is smaller than the sum of its proper divisors (86529032).

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

82766728 is a wasteful number, since it uses less digits than its factorization.

82766728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940548 (or 940544 counting only the distinct ones).

The product of its digits is 451584, while the sum is 46.

The square root of 82766728 is about 9097.6221069024. The cubic root of 82766728 is about 435.7980295082.

The spelling of 82766728 in words is "eighty-two million, seven hundred sixty-six thousand, seven hundred twenty-eight".