728169984 has 120 divisors (see below), whose sum is σ = 2212421640. Its totient is φ = 229920768.

The previous prime is 728169977. The next prime is 728170033. The reversal of 728169984 is 489961827.

728169984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 728169984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83394 + ... + 91710.

It is an arithmetic number, because the mean of its divisors is an integer number (18436847).

Almost surely, 2^728169984 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 728169984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106210820).

728169984 is an abundant number, since it is smaller than the sum of its proper divisors (1484251656).

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

728169984 is a wasteful number, since it uses less digits than its factorization.

728169984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8360 (or 8341 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 728169984 is about 26984.6249557039. The cubic root of 728169984 is about 899.6582999139.

The spelling of 728169984 in words is "seven hundred twenty-eight million, one hundred sixty-nine thousand, nine hundred eighty-four".