728827461 has 6 divisors (see below), whose sum is σ = 1052750790. Its totient is φ = 485884968.

The previous prime is 728827423. The next prime is 728827481. The reversal of 728827461 is 164728827.

It can be written as a sum of positive squares in only one way, i.e., 496844100 + 231983361 = 22290^2 + 15231^2 .

It is not a de Polignac number, because 728827461 - 2⁹ = 728826949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728827481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40490406 + ... + 40490423.

It is an arithmetic number, because the mean of its divisors is an integer number (175458465).

Almost surely, 2^728827461 is an apocalyptic number.

It is an amenable number.

728827461 is a deficient number, since it is larger than the sum of its proper divisors (323923329).

728827461 is a wasteful number, since it uses less digits than its factorization.

728827461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80980835 (or 80980832 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 728827461 is about 26996.8046442537. The cubic root of 728827461 is about 899.9289906939.

The spelling of 728827461 in words is "seven hundred twenty-eight million, eight hundred twenty-seven thousand, four hundred sixty-one".