728478874827 has 24 divisors (see below), whose sum is σ = 1159271528688. Its totient is φ = 437131032000.

The previous prime is 728478874727. The next prime is 728478874831.

728478874827 is a `hidden beast` number, since 7 + 2 + 8 + 478 + 8 + 74 + 82 + 7 = 666.

728478874827 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 728478874827 - 2⁷ = 728478874699 is a prime.

It is not an unprimeable number, because it can be changed into a prime (728478874867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36417588 + ... + 36437585.

It is an arithmetic number, because the mean of its divisors is an integer number (48302980362).

Almost surely, 2^728478874827 is an apocalyptic number.

728478874827 is a deficient number, since it is larger than the sum of its proper divisors (430792653861).

728478874827 is a wasteful number, since it uses less digits than its factorization.

728478874827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72855291 (or 72855288 counting only the distinct ones).

The product of its digits is 629407744, while the sum is 72.

The spelling of 728478874827 in words is "seven hundred twenty-eight billion, four hundred seventy-eight million, eight hundred seventy-four thousand, eight hundred twenty-seven".