728988312 has 256 divisors, whose sum is σ = 2206310400. Its totient is φ = 198696960.

The previous prime is 728988307. The next prime is 728988317. The reversal of 728988312 is 213889827.

It is an interprime number because it is at equal distance from previous prime (728988307) and next prime (728988317).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728988317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6451168 + ... + 6451280.

It is an arithmetic number, because the mean of its divisors is an integer number (8618400).

Almost surely, 2^728988312 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 728988312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103155200).

728988312 is an abundant number, since it is smaller than the sum of its proper divisors (1477322088).

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

728988312 is a wasteful number, since it uses less digits than its factorization.

728988312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 214 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 728988312 is about 26999.7835546880. The cubic root of 728988312 is about 899.9951900978.

The spelling of 728988312 in words is "seven hundred twenty-eight million, nine hundred eighty-eight thousand, three hundred twelve".