728459424 has 288 divisors, whose sum is σ = 2615348736. Its totient is φ = 186831360.

The previous prime is 728459419. The next prime is 728459453. The reversal of 728459424 is 424954827.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (645120) is a multiple of the sum of its prime factors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 728459424.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2372679 + ... + 2372985.

It is an arithmetic number, because the mean of its divisors is an integer number (9081072).

Almost surely, 2^728459424 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 728459424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307674368).

728459424 is an abundant number, since it is smaller than the sum of its proper divisors (1886889312).

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

728459424 is a wasteful number, since it uses less digits than its factorization.

728459424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 437 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 728459424 is about 26989.9874768404. The cubic root of 728459424 is about 899.7774857313. Note that the first 3 decimals are identical.

The spelling of 728459424 in words is "seven hundred twenty-eight million, four hundred fifty-nine thousand, four hundred twenty-four".