728515648 has 56 divisors (see below), whose sum is σ = 1654763264. Its totient is φ = 311731200.

The previous prime is 728515609. The next prime is 728515649. The reversal of 728515648 is 846515827.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×728515648³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 728515598 and 728515607.

It is not an unprimeable number, because it can be changed into a prime (728515649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550828 + ... + 552148.

It is an arithmetic number, because the mean of its divisors is an integer number (29549344).

Almost surely, 2^728515648 is an apocalyptic number.

It is an amenable number.

728515648 is an abundant number, since it is smaller than the sum of its proper divisors (926247616).

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

728515648 is a wasteful number, since it uses less digits than its factorization.

728515648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2561 counting only the distinct ones).

The product of its digits is 537600, while the sum is 46.

The square root of 728515648 is about 26991.0290281790. The cubic root of 728515648 is about 899.8006340295.

The spelling of 728515648 in words is "seven hundred twenty-eight million, five hundred fifteen thousand, six hundred forty-eight".