33828116 has 48 divisors (see below), whose sum is σ = 70371840. Its totient is φ = 13927680.

The previous prime is 33828107. The next prime is 33828131. The reversal of 33828116 is 61182833.

It is a happy number.

It is a super-2 number, since 2×33828116² = 2288682864218912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90506 + ... + 90878.

It is an arithmetic number, because the mean of its divisors is an integer number (1466080).

Almost surely, 2^33828116 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 33828116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35185920).

33828116 is an abundant number, since it is smaller than the sum of its proper divisors (36543724).

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

33828116 is a wasteful number, since it uses less digits than its factorization.

33828116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 502 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 33828116 is about 5816.1942883642. The cubic root of 33828116 is about 323.4143385330.

The spelling of 33828116 in words is "thirty-three million, eight hundred twenty-eight thousand, one hundred sixteen".