803832288 has 96 divisors (see below), whose sum is σ = 2415942144. Its totient is φ = 229243392.

The previous prime is 803832287. The next prime is 803832311. The reversal of 803832288 is 882238308.

803832288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×803832288³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803832287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649206 + ... + 650442.

It is an arithmetic number, because the mean of its divisors is an integer number (25166064).

Almost surely, 2^803832288 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 803832288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207971072).

803832288 is an abundant number, since it is smaller than the sum of its proper divisors (1612109856).

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

803832288 is a wasteful number, since it uses less digits than its factorization.

803832288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 803832288 is about 28351.9362301766. The cubic root of 803832288 is about 929.7977314766.

The spelling of 803832288 in words is "eight hundred three million, eight hundred thirty-two thousand, two hundred eighty-eight".