818928 has 90 divisors (see below), whose sum is σ = 2572752. Its totient is φ = 242880.

The previous prime is 818897. The next prime is 818947. The reversal of 818928 is 829818.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 818892 and 818901.

It is a congruent number.

It is an unprimeable number.

818928 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 17 ways as a sum of consecutive naturals, for example, 17401 + ... + 17447.

2⁸¹⁸⁹²⁸ is an apocalyptic number.

818928 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 818928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286376).

818928 is an abundant number, since it is smaller than the sum of its proper divisors (1753824).

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

818928 is a wasteful number, since it uses less digits than its factorization.

818928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 63 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 818928 is about 904.9464072529. The cubic root of 818928 is about 93.5582105803.

It can be divided in two parts, 81 and 8928, that added together give a palindrome (9009).

The spelling of 818928 in words is "eight hundred eighteen thousand, nine hundred twenty-eight".