728387301833225 has 12 divisors (see below), whose sum is σ = 903772262082960. Its totient is φ = 582340804170000.

The previous prime is 728387301833183. The next prime is 728387301833249. The reversal of 728387301833225 is 522338103783827.

It is not a de Polignac number, because 728387301833225 - 2²⁴ = 728387285056009 is a prime.

It is a super-3 number, since 3×728387301833225³ (a number of 46 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9225892151 + ... + 9225971100.

It is an arithmetic number, because the mean of its divisors is an integer number (75314355173580).

Almost surely, 2^{728387301833225} is an apocalyptic number.

It is an amenable number.

728387301833225 is a deficient number, since it is larger than the sum of its proper divisors (175384960249735).

728387301833225 is a wasteful number, since it uses less digits than its factorization.

728387301833225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18451864840 (or 18451864835 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 62.

The spelling of 728387301833225 in words is "seven hundred twenty-eight trillion, three hundred eighty-seven billion, three hundred one million, eight hundred thirty-three thousand, two hundred twenty-five".