728920608 has 192 divisors, whose sum is σ = 2162184192. Its totient is φ = 213488640.

The previous prime is 728920589. The next prime is 728920613. The reversal of 728920608 is 806029827.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 728920608.

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 31 ways as a sum of consecutive naturals, for example, 3210991 + ... + 3211217.

It is an arithmetic number, because the mean of its divisors is an integer number (11261376).

Almost surely, 2^728920608 is an apocalyptic number.

728920608 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728920608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081092096).

728920608 is an abundant number, since it is smaller than the sum of its proper divisors (1433263584).

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

728920608 is a wasteful number, since it uses less digits than its factorization.

728920608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 728920608 is about 26998.5297377468. The cubic root of 728920608 is about 899.9673272090.

The spelling of 728920608 in words is "seven hundred twenty-eight million, nine hundred twenty thousand, six hundred eight".