728937216 has 108 divisors (see below), whose sum is σ = 2402002512. Its totient is φ = 208263168.

The previous prime is 728937211. The next prime is 728937221. The reversal of 728937216 is 612739827.

It is an interprime number because it is at equal distance from previous prime (728937211) and next prime (728937221).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (728937211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6471 + ... + 38726.

It is an arithmetic number, because the mean of its divisors is an integer number (22240764).

Almost surely, 2^728937216 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 728937216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201001256).

728937216 is an abundant number, since it is smaller than the sum of its proper divisors (1673065296).

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

728937216 is a wasteful number, since it uses less digits than its factorization.

728937216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45226 (or 45209 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 728937216 is about 26998.8373082990. The cubic root of 728937216 is about 899.9741622212.

The spelling of 728937216 in words is "seven hundred twenty-eight million, nine hundred thirty-seven thousand, two hundred sixteen".