33228032 has 72 divisors (see below), whose sum is σ = 70640640. Its totient is φ = 15575040.

The previous prime is 33228011. The next prime is 33228037. The reversal of 33228032 is 23082233.

It is a happy number.

It is a super-2 number, since 2×33228032² = 2208204221186048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33227989 and 33228007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33228037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420569 + ... + 420647.

It is an arithmetic number, because the mean of its divisors is an integer number (981120).

Almost surely, 2^33228032 is an apocalyptic number.

33228032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35320320).

33228032 is an abundant number, since it is smaller than the sum of its proper divisors (37412608).

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

33228032 is an equidigital number, since it uses as much as digits as its factorization.

33228032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 33228032 is about 5764.3761154179. The cubic root of 33228032 is about 321.4905463191.

The spelling of 33228032 in words is "thirty-three million, two hundred twenty-eight thousand, thirty-two".