82728027 has 16 divisors (see below), whose sum is σ = 122816160. Its totient is φ = 55036800.

The previous prime is 82728011. The next prime is 82728029. The reversal of 82728027 is 72082728.

It is not a de Polignac number, because 82728027 - 2⁴ = 82728011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82727982 and 82728000.

It is not an unprimeable number, because it can be changed into a prime (82728029) 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, 11127 + ... + 17007.

It is an arithmetic number, because the mean of its divisors is an integer number (7676010).

Almost surely, 2^82728027 is an apocalyptic number.

82728027 is a deficient number, since it is larger than the sum of its proper divisors (40088133).

82728027 is a wasteful number, since it uses less digits than its factorization.

82728027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6411 (or 6405 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 82728027 is about 9095.4948738373. The cubic root of 82728027 is about 435.7300937995.

The spelling of 82728027 in words is "eighty-two million, seven hundred twenty-eight thousand, twenty-seven".