728967936 has 72 divisors (see below), whose sum is σ = 1976834160. Its totient is φ = 238391296.

The previous prime is 728967931. The next prime is 728967947. The reversal of 728967936 is 639769827.

It is a happy number.

It is a super-2 number, since 2×728967936² = 1062788503432200192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (728967931) 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 7 ways as a sum of consecutive naturals, for example, 31750 + ... + 49658.

It is an arithmetic number, because the mean of its divisors is an integer number (27456030).

Almost surely, 2^728967936 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 728967936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988417080).

728967936 is an abundant number, since it is smaller than the sum of its proper divisors (1247866224).

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

728967936 is a wasteful number, since it uses less digits than its factorization.

728967936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17981 (or 17967 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 57.

The square root of 728967936 is about 26999.4062156930. The cubic root of 728967936 is about 899.9868047448.

The spelling of 728967936 in words is "seven hundred twenty-eight million, nine hundred sixty-seven thousand, nine hundred thirty-six".