728510123803424 has 144 divisors (see below), whose sum is σ = 1499414725078200. Its totient is φ = 348383702016000.

The previous prime is 728510123803391. The next prime is 728510123803459. The reversal of 728510123803424 is 424308321015827.

It can be written as a sum of positive squares in 4 ways, for example, as 519195780513424 + 209314343290000 = 22785868^2 + 14467700^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1212466274 + ... + 1213066974.

Almost surely, 2^{728510123803424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728510123803424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749707362539100).

728510123803424 is an abundant number, since it is smaller than the sum of its proper divisors (770904601274776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

728510123803424 is a wasteful number, since it uses less digits than its factorization.

728510123803424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601235 (or 601196 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 50.

The spelling of 728510123803424 in words is "seven hundred twenty-eight trillion, five hundred ten billion, one hundred twenty-three million, eight hundred three thousand, four hundred twenty-four".