32228928 has 70 divisors (see below), whose sum is σ = 95552006. Its totient is φ = 10741248.

The previous prime is 32228897. The next prime is 32228939. The reversal of 32228928 is 82982223.

It can be written as a sum of positive squares in only one way, i.e., 29942784 + 2286144 = 5472^2 + 1512^2 .

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

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 32228892 and 32228901.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2076 + ... + 8292.

Almost surely, 2^32228928 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 32228928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47776003).

32228928 is an abundant number, since it is smaller than the sum of its proper divisors (63323078).

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

32228928 is an equidigital number, since it uses as much as digits as its factorization.

32228928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6241 (or 6222 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 32228928 is about 5677.0527564926. The cubic root of 32228928 is about 318.2354966160.

The spelling of 32228928 in words is "thirty-two million, two hundred twenty-eight thousand, nine hundred twenty-eight".