728982001 has 16 divisors (see below), whose sum is σ = 808228800. Its totient is φ = 651974400.

The previous prime is 728981969. The next prime is 728982011. The reversal of 728982001 is 100289827.

It is not a de Polignac number, because 728982001 - 2⁵ = 728981969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (728982011) 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 in 15 ways as a sum of consecutive naturals, for example, 204805 + ... + 208333.

It is an arithmetic number, because the mean of its divisors is an integer number (50514300).

Almost surely, 2^728982001 is an apocalyptic number.

It is an amenable number.

728982001 is a deficient number, since it is larger than the sum of its proper divisors (79246799).

728982001 is a wasteful number, since it uses less digits than its factorization.

728982001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840.

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 728982001 is about 26999.6666831278. Note that the first 4 decimals coincide. The cubic root of 728982001 is about 899.9925929432.

The spelling of 728982001 in words is "seven hundred twenty-eight million, nine hundred eighty-two thousand, one".