803285028 has 216 divisors, whose sum is σ = 2656075968. Its totient is φ = 202511232.

The previous prime is 803285011. The next prime is 803285081. The reversal of 803285028 is 820582308.

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

It is a junction number, because it is equal to n+sod(n) for n = 803284983 and 803285001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 526675 + ... + 528197.

It is an arithmetic number, because the mean of its divisors is an integer number (12296648).

Almost surely, 2^803285028 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 803285028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328037984).

803285028 is an abundant number, since it is smaller than the sum of its proper divisors (1852790940).

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

803285028 is a wasteful number, since it uses less digits than its factorization.

803285028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 803285028 is about 28342.2833942504. The cubic root of 803285028 is about 929.5866772417.

The spelling of 803285028 in words is "eight hundred three million, two hundred eighty-five thousand, twenty-eight".