728115343511827 has 16 divisors (see below), whose sum is σ = 770488060360320. Its totient is φ = 686157120792000.

The previous prime is 728115343511771. The next prime is 728115343511849.

728115343511827 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 728115343511827 - 2¹⁵ = 728115343479059 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (728115343511327) 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, 127886674 + ... + 133458727.

It is an arithmetic number, because the mean of its divisors is an integer number (48155503772520).

Almost surely, 2^{728115343511827} is an apocalyptic number.

728115343511827 is a deficient number, since it is larger than the sum of its proper divisors (42372716848493).

728115343511827 is a wasteful number, since it uses less digits than its factorization.

728115343511827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261346194.

The product of its digits is 11289600, while the sum is 58.

The spelling of 728115343511827 in words is "seven hundred twenty-eight trillion, one hundred fifteen billion, three hundred forty-three million, five hundred eleven thousand, eight hundred twenty-seven".