728746835882337 has 12 divisors (see below), whose sum is σ = 1052635791155364. Its totient is φ = 485830544232960.

The previous prime is 728746835882297. The next prime is 728746835882357. The reversal of 728746835882337 is 733288538647827.

728746835882337 is a `hidden beast` number, since 7 + 2 + 8 + 7 + 4 + 6 + 8 + 3 + 588 + 23 + 3 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 456408916785441 + 272337919096896 = 21363729^2 + 16502664^2 .

It is not a de Polignac number, because 728746835882337 - 2¹⁰ = 728746835881313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (728746835882357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49806864 + ... + 62755217.

It is an arithmetic number, because the mean of its divisors is an integer number (87719649262947).

Almost surely, 2^{728746835882337} is an apocalyptic number.

It is an amenable number.

728746835882337 is a deficient number, since it is larger than the sum of its proper divisors (323888955273027).

728746835882337 is a wasteful number, since it uses less digits than its factorization.

728746835882337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113281440 (or 113281437 counting only the distinct ones).

The product of its digits is 18207866880, while the sum is 81.

The spelling of 728746835882337 in words is "seven hundred twenty-eight trillion, seven hundred forty-six billion, eight hundred thirty-five million, eight hundred eighty-two thousand, three hundred thirty-seven".