728940000 has 120 divisors (see below), whose sum is σ = 2391265800. Its totient is φ = 194368000.

The previous prime is 728939977. The next prime is 728940001. The reversal of 728940000 is 49827.

It is a tau number, because it is divible by the number of its divisors (120).

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 728940000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728940001) 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 19 ways as a sum of consecutive naturals, for example, 53926 + ... + 66074.

It is an arithmetic number, because the mean of its divisors is an integer number (19927215).

Almost surely, 2^728940000 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 728940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195632900).

728940000 is an abundant number, since it is smaller than the sum of its proper divisors (1662325800).

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

728940000 is a wasteful number, since it uses less digits than its factorization.

728940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12182 (or 12159 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 728940000 is about 26998.8888660256. Note that the first 4 decimals coincide. The cubic root of 728940000 is about 899.9753079645.

Adding to 728940000 its reverse (49827), we get a palindrome (728989827).

The spelling of 728940000 in words is "seven hundred twenty-eight million, nine hundred forty thousand".