728513408 has 192 divisors, whose sum is σ = 1827554400. Its totient is φ = 282906624.

The previous prime is 728513377. The next prime is 728513413. The reversal of 728513408 is 804315827.

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, 13745510 + ... + 13745562.

Almost surely, 2^728513408 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 728513408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913777200).

728513408 is an abundant number, since it is smaller than the sum of its proper divisors (1099040992).

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

728513408 is a wasteful number, since it uses less digits than its factorization.

728513408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 728513408 is about 26990.9875328785. The cubic root of 728513408 is about 899.7997118093.

The spelling of 728513408 in words is "seven hundred twenty-eight million, five hundred thirteen thousand, four hundred eight".