819328 has 32 divisors (see below), whose sum is σ = 1686060. Its totient is φ = 396288.

The previous prime is 819319. The next prime is 819367. The reversal of 819328 is 823918.

It can be written as a sum of positive squares in 2 ways, for example, as 652864 + 166464 = 808^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 819328.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4650 + ... + 4822.

2⁸¹⁹³²⁸ 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 819328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843030).

819328 is an abundant number, since it is smaller than the sum of its proper divisors (866732).

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

819328 is a wasteful number, since it uses less digits than its factorization.

819328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its digits is 3456, while the sum is 31.

The square root of 819328 is about 905.1673878350. The cubic root of 819328 is about 93.5734407319.

It can be divided in two parts, 81 and 9328, that added together give a square (9409 = 97²).

The spelling of 819328 in words is "eight hundred nineteen thousand, three hundred twenty-eight".