728805504 has 256 divisors, whose sum is σ = 2405894400. Its totient is φ = 190709760.

The previous prime is 728805433. The next prime is 728805509. The reversal of 728805504 is 405508827.

It is a super-3 number, since 3×728805504³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (728805509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1873342 + ... + 1873730.

It is an arithmetic number, because the mean of its divisors is an integer number (9398025).

Almost surely, 2^728805504 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 728805504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202947200).

728805504 is an abundant number, since it is smaller than the sum of its proper divisors (1677088896).

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

728805504 is a wasteful number, since it uses less digits than its factorization.

728805504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 728805504 is about 26996.3979819531. The cubic root of 728805504 is about 899.9199533746.

The spelling of 728805504 in words is "seven hundred twenty-eight million, eight hundred five thousand, five hundred four".