853328 has 40 divisors (see below), whose sum is σ = 1993920. Its totient is φ = 345600.

The previous prime is 853319. The next prime is 853339. The reversal of 853328 is 823358.

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 853328.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1928 + ... + 2328.

It is an arithmetic number, because the mean of its divisors is an integer number (49848).

2⁸⁵³³²⁸ 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 853328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996960).

853328 is an abundant number, since it is smaller than the sum of its proper divisors (1140592).

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

853328 is a wasteful number, since it uses less digits than its factorization.

853328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 429 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 853328 is about 923.7575439475. The cubic root of 853328 is about 94.8502905141.

It can be divided in two parts, 8 and 53328, that multiplied together give a palindrome (426624).

The spelling of 853328 in words is "eight hundred fifty-three thousand, three hundred twenty-eight".