728955680 has 48 divisors (see below), whose sum is σ = 1733772600. Its totient is φ = 289615872.

The previous prime is 728955677. The next prime is 728955701. The reversal of 728955680 is 86559827.

It can be written as a sum of positive squares in 4 ways, for example, as 384630544 + 344325136 = 19612^2 + 18556^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8552 + ... + 39128.

Almost surely, 2^728955680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728955680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866886300).

728955680 is an abundant number, since it is smaller than the sum of its proper divisors (1004816920).

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

728955680 is a wasteful number, since it uses less digits than its factorization.

728955680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30741 (or 30733 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 50.

The square root of 728955680 is about 26999.1792467845. The cubic root of 728955680 is about 899.9817609472.

The spelling of 728955680 in words is "seven hundred twenty-eight million, nine hundred fifty-five thousand, six hundred eighty".