728761968 has 80 divisors (see below), whose sum is σ = 2281996800. Its totient is φ = 220835520.

The previous prime is 728761961. The next prime is 728761987. The reversal of 728761968 is 869167827.

It is a super-3 number, since 3×728761968³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728761961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71928 + ... + 81431.

It is an arithmetic number, because the mean of its divisors is an integer number (28524960).

Almost surely, 2^728761968 is an apocalyptic number.

It is an amenable number.

728761968 is an abundant number, since it is smaller than the sum of its proper divisors (1553234832).

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

728761968 is a wasteful number, since it uses less digits than its factorization.

728761968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153387 (or 153375 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 728761968 is about 26995.5916401178. The cubic root of 728761968 is about 899.9020337811.

The spelling of 728761968 in words is "seven hundred twenty-eight million, seven hundred sixty-one thousand, nine hundred sixty-eight".