728220000 has 240 divisors, whose sum is σ = 2444405040. Its totient is φ = 189696000.

The previous prime is 728219993. The next prime is 728220019. The reversal of 728220000 is 22827.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3179886 + ... + 3180114.

It is an arithmetic number, because the mean of its divisors is an integer number (10185021).

Almost surely, 2^728220000 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 728220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222202520).

728220000 is an abundant number, since it is smaller than the sum of its proper divisors (1716185040).

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

728220000 is a wasteful number, since it uses less digits than its factorization.

728220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 728220000 is about 26985.5516897469. The cubic root of 728220000 is about 899.6788977964.

Adding to 728220000 its reverse (22827), we get a palindrome (728242827).

The spelling of 728220000 in words is "seven hundred twenty-eight million, two hundred twenty thousand".