803528 has 32 divisors (see below), whose sum is σ = 1719360. Its totient is φ = 348480.

The previous prime is 803519. The next prime is 803549. The reversal of 803528 is 825308.

It is a junction number, because it is equal to n+sod(n) for n = 803497 and 803506.

It is an unprimeable number.

803528 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 1826 + ... + 2222.

It is an arithmetic number, because the mean of its divisors is an integer number (53730).

2⁸⁰³⁵²⁸ is an apocalyptic number.

803528 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 803528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859680).

803528 is an abundant number, since it is smaller than the sum of its proper divisors (915832).

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

803528 is a wasteful number, since it uses less digits than its factorization.

803528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 803528 is about 896.3972333737. The cubic root of 803528 is about 92.9680392738.

It can be divided in two parts, 803 and 528, that added together give a palindrome (1331).

The spelling of 803528 in words is "eight hundred three thousand, five hundred twenty-eight".