728273268 has 120 divisors (see below), whose sum is σ = 2122243200. Its totient is φ = 216421632.

The previous prime is 728273267. The next prime is 728273279. The reversal of 728273268 is 862372827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728273261) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 101173 + ... + 108131.

It is an arithmetic number, because the mean of its divisors is an integer number (17685360).

Almost surely, 2^728273268 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 728273268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061121600).

728273268 is an abundant number, since it is smaller than the sum of its proper divisors (1393969932).

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

728273268 is a wasteful number, since it uses less digits than its factorization.

728273268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7011 (or 7000 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 728273268 is about 26986.5386442945. The cubic root of 728273268 is about 899.7008338995.

The spelling of 728273268 in words is "seven hundred twenty-eight million, two hundred seventy-three thousand, two hundred sixty-eight".