728699011101001 has 16 divisors (see below), whose sum is σ = 732139224530560. Its totient is φ = 725269490749440.

The previous prime is 728699011100971. The next prime is 728699011101007. The reversal of 728699011101001 is 100101110996827.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 728699011101001 - 2¹³ = 728699011092809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (728699011101007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264053035 + ... + 266798431.

It is an arithmetic number, because the mean of its divisors is an integer number (45758701533160).

Almost surely, 2^{728699011101001} is an apocalyptic number.

It is an amenable number.

728699011101001 is a deficient number, since it is larger than the sum of its proper divisors (3440213429559).

728699011101001 is a wasteful number, since it uses less digits than its factorization.

728699011101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747344.

The product of its (nonzero) digits is 54432, while the sum is 46.

The spelling of 728699011101001 in words is "seven hundred twenty-eight trillion, six hundred ninety-nine billion, eleven million, one hundred one thousand, one".