33812928 has 84 divisors (see below), whose sum is σ = 99060000. Its totient is φ = 11022336.

The previous prime is 33812903. The next prime is 33813019. The reversal of 33812928 is 82921833.

It is a happy number.

It is a super-2 number, since 2×33812928² = 2286628199866368, 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 = 33812892 and 33812901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26448 + ... + 27696.

Almost surely, 2^33812928 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 33812928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49530000).

33812928 is an abundant number, since it is smaller than the sum of its proper divisors (65247072).

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

33812928 is a wasteful number, since it uses less digits than its factorization.

33812928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1301 counting only the distinct ones).

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

The square root of 33812928 is about 5814.8884770045. Note that the first 3 decimals coincide. The cubic root of 33812928 is about 323.3659295676.

It can be divided in two parts, 3381292 and 8, that added together give a triangular number (3381300 = T₂₆₀₀).

The spelling of 33812928 in words is "thirty-three million, eight hundred twelve thousand, nine hundred twenty-eight".