728961680 has 40 divisors (see below), whose sum is σ = 1705015872. Its totient is φ = 289833344.

The previous prime is 728961643. The next prime is 728961689. The reversal of 728961680 is 86169827.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (728961689) 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 7 ways as a sum of consecutive naturals, for example, 13922 + ... + 40641.

Almost surely, 2^728961680 is an apocalyptic number.

It is an amenable number.

728961680 is an abundant number, since it is smaller than the sum of its proper divisors (976054192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

728961680 is a wasteful number, since it uses less digits than its factorization.

728961680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54743 (or 54737 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 47.

The square root of 728961680 is about 26999.2903610447. The cubic root of 728961680 is about 899.9842301764.

The spelling of 728961680 in words is "seven hundred twenty-eight million, nine hundred sixty-one thousand, six hundred eighty".