728984448 has 192 divisors, whose sum is σ = 2272233600. Its totient is φ = 232201728.

The previous prime is 728984423. The next prime is 728984467. The reversal of 728984448 is 844489827.

728984448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 728984394 and 728984403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714883 + ... + 715901.

It is an arithmetic number, because the mean of its divisors is an integer number (11834550).

Almost surely, 2^728984448 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 728984448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136116800).

728984448 is an abundant number, since it is smaller than the sum of its proper divisors (1543249152).

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

728984448 is a wasteful number, since it uses less digits than its factorization.

728984448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1047 counting only the distinct ones).

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

The square root of 728984448 is about 26999.7119984640. The cubic root of 728984448 is about 899.9935999545.

The spelling of 728984448 in words is "seven hundred twenty-eight million, nine hundred eighty-four thousand, four hundred forty-eight".