728931750625 has 135 divisors (see below), whose sum is σ = 1028186775693. Its totient is φ = 516363120000.

The previous prime is 728931750623. The next prime is 728931750629. The reversal of 728931750625 is 526057139827.

The square root of 728931750625 is 853775.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 694433888929 + 34497861696 = 833327^2 + 185736^2 .

It is not a de Polignac number, because 728931750625 - 2¹ = 728931750623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (728931750623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 10266644340 + ... + 10266644410.

Almost surely, 2^728931750625 is an apocalyptic number.

728931750625 is the 853775-th square number.

728931750625 is the 426888-th centered octagonal number.

It is an amenable number.

728931750625 is a deficient number, since it is larger than the sum of its proper divisors (299255025068).

728931750625 is an frugal number, since it uses more digits than its factorization.

728931750625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 55.

The spelling of 728931750625 in words is "seven hundred twenty-eight billion, nine hundred thirty-one million, seven hundred fifty thousand, six hundred twenty-five".