728032800 has 432 divisors, whose sum is σ = 2742949440. Its totient is φ = 167270400.

The previous prime is 728032741. The next prime is 728032813. The reversal of 728032800 is 8230827.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 71 ways as a sum of consecutive naturals, for example, 6679146 + ... + 6679254.

It is an arithmetic number, because the mean of its divisors is an integer number (6349420).

Almost surely, 2^728032800 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 728032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371474720).

728032800 is an abundant number, since it is smaller than the sum of its proper divisors (2014916640).

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

728032800 is a wasteful number, since it uses less digits than its factorization.

728032800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 728032800 is about 26982.0829440575. The cubic root of 728032800 is about 899.6017991525.

The spelling of 728032800 in words is "seven hundred twenty-eight million, thirty-two thousand, eight hundred".