728588448 has 216 divisors, whose sum is σ = 2552813172. Its totient is φ = 195858432.

The previous prime is 728588417. The next prime is 728588467. The reversal of 728588448 is 844885827.

It can be written as a sum of positive squares in 2 ways, for example, as 647804304 + 80784144 = 25452^2 + 8988^2 .

It is a super-2 number, since 2×728588448² = 1061682253118097408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 728588394 and 728588403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 238386 + ... + 241422.

Almost surely, 2^728588448 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 728588448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276406586).

728588448 is an abundant number, since it is smaller than the sum of its proper divisors (1824224724).

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

728588448 is a wasteful number, since it uses less digits than its factorization.

728588448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084 (or 3066 counting only the distinct ones).

The product of its digits is 4587520, while the sum is 54.

The square root of 728588448 is about 26992.3775907199. The cubic root of 728588448 is about 899.8306051561.

The spelling of 728588448 in words is "seven hundred twenty-eight million, five hundred eighty-eight thousand, four hundred forty-eight".