728851200 has 864 divisors, whose sum is σ = 3284789760. Its totient is φ = 137625600.

The previous prime is 728851187. The next prime is 728851273. The reversal of 728851200 is 2158827.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25132786 + ... + 25132814.

It is an arithmetic number, because the mean of its divisors is an integer number (3801840).

Almost surely, 2^728851200 is an apocalyptic number.

728851200 is a gapful number since it is divisible by the number (70) 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 728851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642394880).

728851200 is an abundant number, since it is smaller than the sum of its proper divisors (2555938560).

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

728851200 is a wasteful number, since it uses less digits than its factorization.

728851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 728851200 is about 26997.2443038174. The cubic root of 728851200 is about 899.9387612653.

The spelling of 728851200 in words is "seven hundred twenty-eight million, eight hundred fifty-one thousand, two hundred".