728818200 has 144 divisors (see below), whose sum is σ = 2670197400. Its totient is φ = 176678400.

The previous prime is 728818183. The next prime is 728818201. The reversal of 728818200 is 2818827.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728818201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1396 + ... + 38204.

Almost surely, 2^728818200 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 728818200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335098700).

728818200 is an abundant number, since it is smaller than the sum of its proper divisors (1941379200).

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

728818200 is a wasteful number, since it uses less digits than its factorization.

728818200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36842 (or 36830 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 728818200 is about 26996.6331234100. The cubic root of 728818200 is about 899.9251789651.

The spelling of 728818200 in words is "seven hundred twenty-eight million, eight hundred eighteen thousand, two hundred".