728444827 has 8 divisors (see below), whose sum is σ = 814049712. Its totient is φ = 646070400.

The previous prime is 728444809. The next prime is 728444833.

728444827 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 728444827 - 2¹⁵ = 728412059 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (728444867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 807138 + ... + 808039.

It is an arithmetic number, because the mean of its divisors is an integer number (101756214).

Almost surely, 2^728444827 is an apocalyptic number.

728444827 is a deficient number, since it is larger than the sum of its proper divisors (85604885).

728444827 is a wasteful number, since it uses less digits than its factorization.

728444827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615229.

The product of its digits is 802816, while the sum is 46.

The square root of 728444827 is about 26989.7170603917. The cubic root of 728444827 is about 899.7714757238.

The spelling of 728444827 in words is "seven hundred twenty-eight million, four hundred forty-four thousand, eight hundred twenty-seven".