728027101 has 2 divisors, whose sum is σ = 728027102. Its totient is φ = 728027100.

The previous prime is 728027087. The next prime is 728027141. The reversal of 728027101 is 101720827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 668274201 + 59752900 = 25851^2 + 7730^2 .

It is a cyclic number.

It is not a de Polignac number, because 728027101 - 2²¹ = 725929949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 728027101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (728027141) 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 as a sum of consecutive naturals, namely, 364013550 + 364013551.

It is an arithmetic number, because the mean of its divisors is an integer number (364013551).

Almost surely, 2^728027101 is an apocalyptic number.

It is an amenable number.

728027101 is a deficient number, since it is larger than the sum of its proper divisors (1).

728027101 is an equidigital number, since it uses as much as digits as its factorization.

728027101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 728027101 is about 26981.9773367335. The cubic root of 728027101 is about 899.5994518022.

Adding to 728027101 its reverse (101720827), we get a palindrome (829747928).

The spelling of 728027101 in words is "seven hundred twenty-eight million, twenty-seven thousand, one hundred one".