728520000 has 280 divisors, whose sum is σ = 2599492896. Its totient is φ = 178944000.

The previous prime is 728519999. The next prime is 728520007. The reversal of 728520000 is 25827.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728520007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1559767 + ... + 1560233.

Almost surely, 2^728520000 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 728520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299746448).

728520000 is an abundant number, since it is smaller than the sum of its proper divisors (1870972896).

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

728520000 is a wasteful number, since it uses less digits than its factorization.

728520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 728520000 is about 26991.1096474376. The cubic root of 728520000 is about 899.8024257661.

Adding to 728520000 its reverse (25827), we get a palindrome (728545827).

The spelling of 728520000 in words is "seven hundred twenty-eight million, five hundred twenty thousand".