728632989648 has 300 divisors, whose sum is σ = 2174394684000. Its totient is φ = 235553266944.

The previous prime is 728632989647. The next prime is 728632989671. The reversal of 728632989648 is 846989236827.

728632989648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728632989647) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 885337365 + ... + 885338187.

It is an arithmetic number, because the mean of its divisors is an integer number (7247982280).

Almost surely, 2^728632989648 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 728632989648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087197342000).

728632989648 is an abundant number, since it is smaller than the sum of its proper divisors (1445761694352).

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

728632989648 is a wasteful number, since it uses less digits than its factorization.

728632989648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1364 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 72.

The spelling of 728632989648 in words is "seven hundred twenty-eight billion, six hundred thirty-two million, nine hundred eighty-nine thousand, six hundred forty-eight".