728850000 has 240 divisors, whose sum is σ = 2429469504. Its totient is φ = 188160000.

The previous prime is 728849987. The next prime is 728850007. The reversal of 728850000 is 58827.

728850000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 728850000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728850007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6449944 + ... + 6450056.

Almost surely, 2^728850000 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 728850000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214734752).

728850000 is an abundant number, since it is smaller than the sum of its proper divisors (1700619504).

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

728850000 is a wasteful number, since it uses less digits than its factorization.

728850000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 728850000 is about 26997.2220793177. Note that the first 3 decimals coincide. The cubic root of 728850000 is about 899.9382673707.

The spelling of 728850000 in words is "seven hundred twenty-eight million, eight hundred fifty thousand".