728684030880 has 384 divisors, whose sum is σ = 2835184343040. Its totient is φ = 173581885440.

The previous prime is 728684030839. The next prime is 728684030887. The reversal of 728684030880 is 88030486827.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (728684030887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1531684 + ... + 1950236.

It is an arithmetic number, because the mean of its divisors is an integer number (7383292560).

Almost surely, 2^728684030880 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 728684030880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417592171520).

728684030880 is an abundant number, since it is smaller than the sum of its proper divisors (2106500312160).

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

728684030880 is a wasteful number, since it uses less digits than its factorization.

728684030880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418621 (or 418607 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 728684030880 in words is "seven hundred twenty-eight billion, six hundred eighty-four million, thirty thousand, eight hundred eighty".