728873240 has 64 divisors (see below), whose sum is σ = 1751328000. Its totient is φ = 272401920.

The previous prime is 728873221. The next prime is 728873251. The reversal of 728873240 is 42378827.

728873240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

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, 25826 + ... + 46094.

It is an arithmetic number, because the mean of its divisors is an integer number (27364500).

Almost surely, 2^728873240 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 728873240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875664000).

728873240 is an abundant number, since it is smaller than the sum of its proper divisors (1022454760).

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

728873240 is a wasteful number, since it uses less digits than its factorization.

728873240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20340 (or 20336 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The square root of 728873240 is about 26997.6524905407. The cubic root of 728873240 is about 899.9478323672.

The spelling of 728873240 in words is "seven hundred twenty-eight million, eight hundred seventy-three thousand, two hundred forty".