32228328 has 128 divisors (see below), whose sum is σ = 95800320. Its totient is φ = 8924160.

The previous prime is 32228281. The next prime is 32228333. The reversal of 32228328 is 82382223.

It is a Cunningham number, because it is equal to 5677²-1.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 32228295 and 32228304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192901 + ... + 193067.

It is an arithmetic number, because the mean of its divisors is an integer number (748440).

Almost surely, 2^32228328 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 32228328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47900160).

32228328 is an abundant number, since it is smaller than the sum of its proper divisors (63571992).

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

32228328 is a wasteful number, since it uses less digits than its factorization.

32228328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 243 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 32228328 is about 5676.9999119253. Note that the first 4 decimals coincide. The cubic root of 32228328 is about 318.2335217599.

The spelling of 32228328 in words is "thirty-two million, two hundred twenty-eight thousand, three hundred twenty-eight".