728998600 has 96 divisors (see below), whose sum is σ = 1858363200. Its totient is φ = 263750400.

The previous prime is 728998591. The next prime is 728998609. The reversal of 728998600 is 6899827.

It is a happy number.

728998600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (728998591) and next prime (728998609).

It is not an unprimeable number, because it can be changed into a prime (728998609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503077 + ... + 504523.

It is an arithmetic number, because the mean of its divisors is an integer number (19357950).

Almost surely, 2^728998600 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 728998600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929181600).

728998600 is an abundant number, since it is smaller than the sum of its proper divisors (1129364600).

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

728998600 is a wasteful number, since it uses less digits than its factorization.

728998600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The square root of 728998600 is about 26999.9740740616. The cubic root of 728998600 is about 899.9994238679. Note that the first 3 decimals are identical.

The spelling of 728998600 in words is "seven hundred twenty-eight million, nine hundred ninety-eight thousand, six hundred".