728755200 has 198 divisors, whose sum is σ = 2610113324. Its totient is φ = 194273280.

The previous prime is 728755187. The next prime is 728755231. The reversal of 728755200 is 2557827.

728755200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 228819 + ... + 231981.

Almost surely, 2^728755200 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 728755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305056662).

728755200 is an abundant number, since it is smaller than the sum of its proper divisors (1881358124).

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

728755200 is a wasteful number, since it uses less digits than its factorization.

728755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 728755200 is about 26995.4662860266. The cubic root of 728755200 is about 899.8992479808.

The spelling of 728755200 in words is "seven hundred twenty-eight million, seven hundred fifty-five thousand, two hundred".