803328 has 40 divisors (see below), whose sum is σ = 2144208. Its totient is φ = 267264.

The previous prime is 803323. The next prime is 803333. The reversal of 803328 is 823308.

It is an interprime number because it is at equal distance from previous prime (803323) and next prime (803333).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 803298 and 803307.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 803328.

It is not an unprimeable number, because it can be changed into a prime (803323) by changing a digit.

803328 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 3 ways as a sum of consecutive naturals, for example, 1275 + ... + 1797.

2⁸⁰³³²⁸ 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 803328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072104).

803328 is an abundant number, since it is smaller than the sum of its proper divisors (1340880).

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

803328 is an equidigital number, since it uses as much as digits as its factorization.

803328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 803328 is about 896.2856687463. The cubic root of 803328 is about 92.9603253129.

The spelling of 803328 in words is "eight hundred three thousand, three hundred twenty-eight".