930528 has 60 divisors (see below), whose sum is σ = 2744280. Its totient is φ = 309312.

The previous prime is 930509. The next prime is 930547. The reversal of 930528 is 825039.

It is an interprime number because it is at equal distance from previous prime (930509) and next prime (930547).

It is a super-3 number, since 3×930528³ = 2417183338663673856, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

930528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2413 + ... + 2771.

It is an arithmetic number, because the mean of its divisors is an integer number (45738).

2⁹³⁰⁵²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 930528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372140).

930528 is an abundant number, since it is smaller than the sum of its proper divisors (1813752).

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

930528 is a wasteful number, since it uses less digits than its factorization.

930528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 930528 is about 964.6387925021. The cubic root of 930528 is about 97.6284697023.

The spelling of 930528 in words is "nine hundred thirty thousand, five hundred twenty-eight".