728761967 has 16 divisors (see below), whose sum is σ = 840261600. Its totient is φ = 627379200.

The previous prime is 728761961. The next prime is 728761987. The reversal of 728761967 is 769167827.

728761967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 728761967 - 2⁴ = 728761951 is a prime.

It is a super-3 number, since 3×728761967³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

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, 29534 + ... + 48267.

It is an arithmetic number, because the mean of its divisors is an integer number (52516350).

Almost surely, 2^728761967 is an apocalyptic number.

728761967 is a deficient number, since it is larger than the sum of its proper divisors (111499633).

728761967 is a wasteful number, since it uses less digits than its factorization.

728761967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77866.

The product of its digits is 1778112, while the sum is 53.

The square root of 728761967 is about 26995.5916215963. The cubic root of 728761967 is about 899.9020333695.

The spelling of 728761967 in words is "seven hundred twenty-eight million, seven hundred sixty-one thousand, nine hundred sixty-seven".