32805828 has 72 divisors (see below), whose sum is σ = 92951040. Its totient is φ = 9668160.

The previous prime is 32805827. The next prime is 32805847. The reversal of 32805828 is 82850823.

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 = 32805792 and 32805801.

It is not an unprimeable number, because it can be changed into a prime (32805823) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13533 + ... + 15771.

Almost surely, 2^32805828 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 32805828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46475520).

32805828 is an abundant number, since it is smaller than the sum of its proper divisors (60145212).

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

32805828 is a wasteful number, since it uses less digits than its factorization.

32805828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2292 counting only the distinct ones).

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

The square root of 32805828 is about 5727.6372091815. The cubic root of 32805828 is about 320.1230906669.

It can be divided in two parts, 32805 and 828, that added together give a palindrome (33633).

The spelling of 32805828 in words is "thirty-two million, eight hundred five thousand, eight hundred twenty-eight".