528767 has 8 divisors (see below), whose sum is σ = 561792. Its totient is φ = 496800.

The previous prime is 528763. The next prime is 528779. The reversal of 528767 is 767825.

528767 is digitally balanced in base 2, 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 a cyclic number.

It is not a de Polignac number, because 528767 - 2² = 528763 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 5⁸ + 2¹⁴ + 7 + 8⁴ + 6 + 7⁶ .

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 528767.

It is not an unprimeable number, because it can be changed into a prime (528763) 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, 917 + ... + 1377.

It is an arithmetic number, because the mean of its divisors is an integer number (70224).

2⁵²⁸⁷⁶⁷ is an apocalyptic number.

528767 is a deficient number, since it is larger than the sum of its proper divisors (33025).

528767 is a wasteful number, since it uses less digits than its factorization.

528767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529.

The product of its digits is 23520, while the sum is 35.

The square root of 528767 is about 727.1636679593. The cubic root of 528767 is about 80.8639182333.

The spelling of 528767 in words is "five hundred twenty-eight thousand, seven hundred sixty-seven".