728282827 has 2 divisors, whose sum is σ = 728282828. Its totient is φ = 728282826.

The previous prime is 728282777. The next prime is 728282861.

728282827 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 728282827 - 2¹¹ = 728280779 is a prime.

It is a super-2 number, since 2×728282827² = 1060791752206223858, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (728286827) 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 as a sum of consecutive naturals, namely, 364141413 + 364141414.

It is an arithmetic number, because the mean of its divisors is an integer number (364141414).

Almost surely, 2^728282827 is an apocalyptic number.

728282827 is a deficient number, since it is larger than the sum of its proper divisors (1).

728282827 is an equidigital number, since it uses as much as digits as its factorization.

728282827 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 401408, while the sum is 46.

The square root of 728282827 is about 26986.7157505318. The cubic root of 728282827 is about 899.7047702437.

It can be divided in two parts, 7282 and 82827, that added together give a palindrome (90109).

The spelling of 728282827 in words is "seven hundred twenty-eight million, two hundred eighty-two thousand, eight hundred twenty-seven".