728838461 has 16 divisors (see below), whose sum is σ = 827433600. Its totient is φ = 636424128.

The previous prime is 728838413. The next prime is 728838491. The reversal of 728838461 is 164838827.

It is a cyclic number.

It is not a de Polignac number, because 728838461 - 2¹⁴ = 728822077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728838491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205475 + ... + 208991.

It is an arithmetic number, because the mean of its divisors is an integer number (51714600).

Almost surely, 2^728838461 is an apocalyptic number.

It is an amenable number.

728838461 is a deficient number, since it is larger than the sum of its proper divisors (98595139).

728838461 is a wasteful number, since it uses less digits than its factorization.

728838461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388.

The product of its digits is 516096, while the sum is 47.

The square root of 728838461 is about 26997.0083712992. The cubic root of 728838461 is about 899.9335181345.

The spelling of 728838461 in words is "seven hundred twenty-eight million, eight hundred thirty-eight thousand, four hundred sixty-one".