728852710763 has 16 divisors (see below), whose sum is σ = 755053385856. Its totient is φ = 703078548480.

The previous prime is 728852710721. The next prime is 728852710769. The reversal of 728852710763 is 367017258827.

It is a cyclic number.

It is not a de Polignac number, because 728852710763 - 2¹⁴ = 728852694379 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 728852710699 and 728852710708.

It is not an unprimeable number, because it can be changed into a prime (728852710769) 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 15 ways as a sum of consecutive naturals, for example, 10569131 + ... + 10637867.

It is an arithmetic number, because the mean of its divisors is an integer number (47190836616).

Almost surely, 2^728852710763 is an apocalyptic number.

728852710763 is a deficient number, since it is larger than the sum of its proper divisors (26200675093).

728852710763 is a wasteful number, since it uses less digits than its factorization.

728852710763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71834.

The product of its (nonzero) digits is 7902720, while the sum is 56.

The spelling of 728852710763 in words is "seven hundred twenty-eight billion, eight hundred fifty-two million, seven hundred ten thousand, seven hundred sixty-three".