927828 has 72 divisors (see below), whose sum is σ = 2681280. Its totient is φ = 277200.

The previous prime is 927821. The next prime is 927833. The reversal of 927828 is 828729.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 927792 and 927801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (927821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13033 + ... + 13103.

It is an arithmetic number, because the mean of its divisors is an integer number (37240).

2⁹²⁷⁸²⁸ 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 927828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340640).

927828 is an abundant number, since it is smaller than the sum of its proper divisors (1753452).

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

927828 is a wasteful number, since it uses less digits than its factorization.

927828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 927828 is about 963.2382882755. The cubic root of 927828 is about 97.5339526722.

Subtracting from 927828 its reverse (828729), we obtain a palindrome (99099).

The spelling of 927828 in words is "nine hundred twenty-seven thousand, eight hundred twenty-eight".