728565827 has 8 divisors (see below), whose sum is σ = 799677120. Its totient is φ = 658267560.

The previous prime is 728565797. The next prime is 728565857.

It is a happy number.

728565827 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (728565797) and next prime (728565857).

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 728565827 - 2⁶ = 728565763 is a prime.

It is not an unprimeable number, because it can be changed into a prime (728565857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201377 + ... + 204962.

It is an arithmetic number, because the mean of its divisors is an integer number (99959640).

Almost surely, 2^728565827 is an apocalyptic number.

728565827 is a deficient number, since it is larger than the sum of its proper divisors (71111293).

728565827 is a wasteful number, since it uses less digits than its factorization.

728565827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406513.

The product of its digits is 1881600, while the sum is 50.

The square root of 728565827 is about 26991.9585617643. The cubic root of 728565827 is about 899.8212925010.

The spelling of 728565827 in words is "seven hundred twenty-eight million, five hundred sixty-five thousand, eight hundred twenty-seven".