728628101 has 2 divisors, whose sum is σ = 728628102. Its totient is φ = 728628100.

The previous prime is 728628091. The next prime is 728628113. The reversal of 728628101 is 101826827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 586899076 + 141729025 = 24226^2 + 11905^2 .

It is a cyclic number.

It is not a de Polignac number, because 728628101 - 2²⁶ = 661519237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (728628191) 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, 364314050 + 364314051.

It is an arithmetic number, because the mean of its divisors is an integer number (364314051).

Almost surely, 2^728628101 is an apocalyptic number.

It is an amenable number.

728628101 is a deficient number, since it is larger than the sum of its proper divisors (1).

728628101 is an equidigital number, since it uses as much as digits as its factorization.

728628101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 728628101 is about 26993.1121029051. The cubic root of 728628101 is about 899.8469291114.

The spelling of 728628101 in words is "seven hundred twenty-eight million, six hundred twenty-eight thousand, one hundred one".