728375323573827 has 24 divisors (see below), whose sum is σ = 1106823986751600. Its totient is φ = 460892860104768.

The previous prime is 728375323573801. The next prime is 728375323573889.

728375323573827 is a `hidden beast` number, since 7 + 2 + 8 + 3 + 7 + 5 + 3 + 23 + 573 + 8 + 27 = 666.

728375323573827 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 728375323573827 - 2¹⁸ = 728375323311683 is a prime.

It is a super-2 number, since 2×728375323573827² (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (728375323573897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23650069788 + ... + 23650100585.

It is an arithmetic number, because the mean of its divisors is an integer number (46117666114650).

Almost surely, 2^{728375323573827} is an apocalyptic number.

728375323573827 is a deficient number, since it is larger than the sum of its proper divisors (378448663177773).

728375323573827 is a wasteful number, since it uses less digits than its factorization.

728375323573827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47300170467 (or 47300170464 counting only the distinct ones).

The product of its digits is 2489356800, while the sum is 72.

The spelling of 728375323573827 in words is "seven hundred twenty-eight trillion, three hundred seventy-five billion, three hundred twenty-three million, five hundred seventy-three thousand, eight hundred twenty-seven".