728838001 has 2 divisors, whose sum is σ = 728838002. Its totient is φ = 728838000.

The previous prime is 728837939. The next prime is 728838031. The reversal of 728838001 is 100838827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 622253025 + 106584976 = 24945^2 + 10324^2 .

It is a cyclic number.

It is not a de Polignac number, because 728838001 - 2⁷ = 728837873 is a prime.

It is not a weakly prime, because it can be changed into another prime (728838031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364419000 + 364419001.

It is an arithmetic number, because the mean of its divisors is an integer number (364419001).

Almost surely, 2^728838001 is an apocalyptic number.

It is an amenable number.

728838001 is a deficient number, since it is larger than the sum of its proper divisors (1).

728838001 is an equidigital number, since it uses as much as digits as its factorization.

728838001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 728838001 is about 26996.9998518354. Note that the first 3 decimals coincide. The cubic root of 728838001 is about 899.9333288060.

The spelling of 728838001 in words is "seven hundred twenty-eight million, eight hundred thirty-eight thousand, one".