728981760 has 288 divisors, whose sum is σ = 2657854080. Its totient is φ = 168689664.

The previous prime is 728981707. The next prime is 728981761. The reversal of 728981760 is 67189827.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (728981761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 848211 + ... + 849069.

It is an arithmetic number, because the mean of its divisors is an integer number (9228660).

Almost surely, 2^728981760 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 728981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328927040).

728981760 is an abundant number, since it is smaller than the sum of its proper divisors (1928872320).

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

728981760 is a wasteful number, since it uses less digits than its factorization.

728981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The square root of 728981760 is about 26999.6622201093. The cubic root of 728981760 is about 899.9924937646.

The spelling of 728981760 in words is "seven hundred twenty-eight million, nine hundred eighty-one thousand, seven hundred sixty".