728847756 has 216 divisors, whose sum is σ = 2373156240. Its totient is φ = 186810624.

The previous prime is 728847739. The next prime is 728847773. The reversal of 728847756 is 657748827.

It is a happy number.

728847756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (728847739) and next prime (728847773).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 848055 + ... + 848913.

Almost surely, 2^728847756 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 728847756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186578120).

728847756 is an abundant number, since it is smaller than the sum of its proper divisors (1644308484).

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

728847756 is a wasteful number, since it uses less digits than its factorization.

728847756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 921 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 54.

The square root of 728847756 is about 26997.1805194542. The cubic root of 728847756 is about 899.9373437862.

The spelling of 728847756 in words is "seven hundred twenty-eight million, eight hundred forty-seven thousand, seven hundred fifty-six".