728541120 has 112 divisors (see below), whose sum is σ = 2449238688. Its totient is φ = 182845440.

The previous prime is 728541089. The next prime is 728541157. The reversal of 728541120 is 21145827.

728541120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6001 + ... + 38640.

Almost surely, 2^728541120 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 728541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224619344).

728541120 is an abundant number, since it is smaller than the sum of its proper divisors (1720697568).

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

728541120 is a wasteful number, since it uses less digits than its factorization.

728541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44678 (or 44668 counting only the distinct ones).

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

The square root of 728541120 is about 26991.5008845377. The cubic root of 728541120 is about 899.8111208573.

Adding to 728541120 its reverse (21145827), we get a palindrome (749686947).

The spelling of 728541120 in words is "seven hundred twenty-eight million, five hundred forty-one thousand, one hundred twenty".