728695968 has 192 divisors, whose sum is σ = 2568609792. Its totient is φ = 174689280.

The previous prime is 728695937. The next prime is 728695969. The reversal of 728695968 is 869596827.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (728695969) 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 31 ways as a sum of consecutive naturals, for example, 92305 + ... + 99887.

It is an arithmetic number, because the mean of its divisors is an integer number (13378176).

Almost surely, 2^728695968 is an apocalyptic number.

728695968 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728695968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284304896).

728695968 is an abundant number, since it is smaller than the sum of its proper divisors (1839913824).

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

728695968 is a wasteful number, since it uses less digits than its factorization.

728695968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7627 (or 7619 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 60.

The square root of 728695968 is about 26994.3691906294. The cubic root of 728695968 is about 899.8748665532.

It can be divided in two parts, 728 and 695968, that added together give a palindrome (696696).

The spelling of 728695968 in words is "seven hundred twenty-eight million, six hundred ninety-five thousand, nine hundred sixty-eight".