728603850 has 192 divisors, whose sum is σ = 2129863680. Its totient is φ = 163123200.

The previous prime is 728603789. The next prime is 728603857. The reversal of 728603850 is 58306827.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 728603799 and 728603808.

It is not an unprimeable number, because it can be changed into a prime (728603857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1027296 + ... + 1028004.

It is an arithmetic number, because the mean of its divisors is an integer number (11093040).

Almost surely, 2^728603850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728603850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064931840).

728603850 is an abundant number, since it is smaller than the sum of its proper divisors (1401259830).

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

728603850 is a wasteful number, since it uses less digits than its factorization.

728603850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 728603850 is about 26992.6628919786. The cubic root of 728603850 is about 899.8369457697.

The spelling of 728603850 in words is "seven hundred twenty-eight million, six hundred three thousand, eight hundred fifty".