728368088461 has 16 divisors (see below), whose sum is σ = 786010701168. Its totient is φ = 670957056000.

The previous prime is 728368088423. The next prime is 728368088467. The reversal of 728368088461 is 164880863827.

It can be written as a sum of positive squares in 8 ways, for example, as 526196455236 + 202171633225 = 725394^2 + 449635^2 .

It is a cyclic number.

It is not a de Polignac number, because 728368088461 - 2³³ = 719778153869 is a prime.

It is a super-2 number, since 2×728368088461² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 728368088461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728368088467) 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, 19560661 + ... + 19597861.

It is an arithmetic number, because the mean of its divisors is an integer number (49125668823).

Almost surely, 2^728368088461 is an apocalyptic number.

It is an amenable number.

728368088461 is a deficient number, since it is larger than the sum of its proper divisors (57642612707).

728368088461 is a wasteful number, since it uses less digits than its factorization.

728368088461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40272.

The product of its (nonzero) digits is 24772608, while the sum is 61.

The spelling of 728368088461 in words is "seven hundred twenty-eight billion, three hundred sixty-eight million, eighty-eight thousand, four hundred sixty-one".