82728261 has 96 divisors (see below), whose sum is σ = 160942080. Its totient is φ = 39657600.

The previous prime is 82728187. The next prime is 82728301. The reversal of 82728261 is 16282728.

It is a happy number.

It is not a de Polignac number, because 82728261 - 2⁷ = 82728133 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82728161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 803136 + ... + 803238.

It is an arithmetic number, because the mean of its divisors is an integer number (1676480).

Almost surely, 2^82728261 is an apocalyptic number.

It is an amenable number.

82728261 is a deficient number, since it is larger than the sum of its proper divisors (78213819).

82728261 is a wasteful number, since it uses less digits than its factorization.

82728261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 204 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 82728261 is about 9095.5077373394. The cubic root of 82728261 is about 435.7305046266.

The spelling of 82728261 in words is "eighty-two million, seven hundred twenty-eight thousand, two hundred sixty-one".