32282320 has 80 divisors (see below), whose sum is σ = 90851328. Its totient is φ = 10414080.

The previous prime is 32282291. The next prime is 32282321. The reversal of 32282320 is 2328223.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 32282291 and 32282300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32282321) 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 15 ways as a sum of consecutive naturals, for example, 7825 + ... + 11215.

Almost surely, 2^32282320 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 32282320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45425664).

32282320 is an abundant number, since it is smaller than the sum of its proper divisors (58569008).

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

32282320 is a wasteful number, since it uses less digits than its factorization.

32282320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 32282320 is about 5681.7532505381. The cubic root of 32282320 is about 318.4111344305.

The spelling of 32282320 in words is "thirty-two million, two hundred eighty-two thousand, three hundred twenty".