33228948 has 48 divisors (see below), whose sum is σ = 86425920. Its totient is φ = 9874944.

The previous prime is 33228947. The next prime is 33228961. The reversal of 33228948 is 84982233.

It is a super-2 number, since 2×33228948² = 2208325970373408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33228947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411 + ... + 8162.

It is an arithmetic number, because the mean of its divisors is an integer number (1800540).

Almost surely, 2^33228948 is an apocalyptic number.

33228948 is a gapful number since it is divisible by the number (38) 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 33228948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43212960).

33228948 is an abundant number, since it is smaller than the sum of its proper divisors (53196972).

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

33228948 is a wasteful number, since it uses less digits than its factorization.

33228948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8616 (or 8614 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 33228948 is about 5764.4555683950. The cubic root of 33228948 is about 321.4935004777.

The spelling of 33228948 in words is "thirty-three million, two hundred twenty-eight thousand, nine hundred forty-eight".