728706960 has 60 divisors (see below), whose sum is σ = 2447243292. Its totient is φ = 194321664.

The previous prime is 728706959. The next prime is 728706961. The reversal of 728706960 is 69607827.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (728706959) and next prime (728706961).

It can be written as a sum of positive squares in 2 ways, for example, as 535274496 + 193432464 = 23136^2 + 13908^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (728706961) 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 11 ways as a sum of consecutive naturals, for example, 505327 + ... + 506766.

Almost surely, 2^728706960 is an apocalyptic number.

It is an amenable number.

728706960 is an abundant number, since it is smaller than the sum of its proper divisors (1718536332).

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

728706960 is a wasteful number, since it uses less digits than its factorization.

728706960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012112 (or 1012103 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 728706960 is about 26994.5727878772. The cubic root of 728706960 is about 899.8793912454.

The spelling of 728706960 in words is "seven hundred twenty-eight million, seven hundred six thousand, nine hundred sixty".