33928128 has 168 divisors, whose sum is σ = 109837728. Its totient is φ = 9934848.

The previous prime is 33928123. The next prime is 33928157. The reversal of 33928128 is 82182933.

It is a happy number.

It is a super-2 number, since 2×33928128² = 2302235739168768, which contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 33928092 and 33928101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33928123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172126 + ... + 172322.

It is an arithmetic number, because the mean of its divisors is an integer number (653796).

Almost surely, 2^33928128 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 33928128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54918864).

33928128 is an abundant number, since it is smaller than the sum of its proper divisors (75909600).

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

33928128 is a wasteful number, since it uses less digits than its factorization.

33928128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 238 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 33928128 is about 5824.7856612926. The cubic root of 33928128 is about 323.7327471513.

The spelling of 33928128 in words is "thirty-three million, nine hundred twenty-eight thousand, one hundred twenty-eight".