82728191 has 16 divisors (see below), whose sum is σ = 102838848. Its totient is φ = 64800000.

The previous prime is 82728187. The next prime is 82728301. The reversal of 82728191 is 19182728.

It is a cyclic number.

It is not a de Polignac number, because 82728191 - 2² = 82728187 is a prime.

It is a super-2 number, since 2×82728191² = 13687907172264962, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 4691 + ... + 13691.

It is an arithmetic number, because the mean of its divisors is an integer number (6427428).

Almost surely, 2^82728191 is an apocalyptic number.

82728191 is a deficient number, since it is larger than the sum of its proper divisors (20110657).

82728191 is a wasteful number, since it uses less digits than its factorization.

82728191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9122.

The product of its digits is 16128, while the sum is 38.

The square root of 82728191 is about 9095.5038892851. The cubic root of 82728191 is about 435.7303817296.

The spelling of 82728191 in words is "eighty-two million, seven hundred twenty-eight thousand, one hundred ninety-one".