33516828 has 120 divisors (see below), whose sum is σ = 93671424. Its totient is φ = 10432800.

The previous prime is 33516793. The next prime is 33516839. The reversal of 33516828 is 82861533.

It is a super-2 number, since 2×33516828² = 2246755518363168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33516792 and 33516801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 472033 + ... + 472103.

Almost surely, 2^33516828 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 33516828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46835712).

33516828 is an abundant number, since it is smaller than the sum of its proper divisors (60154596).

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

33516828 is a wasteful number, since it uses less digits than its factorization.

33516828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 33516828 is about 5789.3719866666. The cubic root of 33516828 is about 322.4192550694.

The spelling of 33516828 in words is "thirty-three million, five hundred sixteen thousand, eight hundred twenty-eight".