728767 has 8 divisors (see below), whose sum is σ = 798560. Its totient is φ = 660960.

The previous prime is 728747. The next prime is 728771. The reversal of 728767 is 767827.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 728767 - 2⁷ = 728639 is a prime.

It is a super-2 number, since 2×728767² = 1062202680578, which contains 22 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 (728747) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334 + ... + 1252.

It is an arithmetic number, because the mean of its divisors is an integer number (99820).

2⁷²⁸⁷⁶⁷ is an apocalyptic number.

728767 is a deficient number, since it is larger than the sum of its proper divisors (69793).

728767 is a wasteful number, since it uses less digits than its factorization.

728767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993.

The product of its digits is 32928, while the sum is 37.

The square root of 728767 is about 853.6785109161. The cubic root of 728767 is about 89.9904105009.

Subtracting 728767 from its reverse (767827), we obtain a triangular number (39060 = T₂₇₉).

The spelling of 728767 in words is "seven hundred twenty-eight thousand, seven hundred sixty-seven".