728763 has 8 divisors (see below), whose sum is σ = 1110528. Its totient is φ = 416424.

The previous prime is 728747. The next prime is 728771. The reversal of 728763 is 367827.

728763 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 728763 - 2⁴ = 728747 is a prime.

728763 is strictly pandigital in base 7.

728763 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (728713) 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, 17331 + ... + 17372.

It is an arithmetic number, because the mean of its divisors is an integer number (138816).

2⁷²⁸⁷⁶³ is an apocalyptic number.

728763 is a deficient number, since it is larger than the sum of its proper divisors (381765).

728763 is a wasteful number, since it uses less digits than its factorization.

728763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34713.

The product of its digits is 14112, while the sum is 33.

The square root of 728763 is about 853.6761681106. The cubic root of 728763 is about 89.9902458565.

The spelling of 728763 in words is "seven hundred twenty-eight thousand, seven hundred sixty-three".