33378828 has 48 divisors (see below), whose sum is σ = 89612544. Its totient is φ = 9472320.

The previous prime is 33378809. The next prime is 33378841. The reversal of 33378828 is 82887333.

It is a super-2 number, since 2×33378828² = 2228292317307168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 33378828.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11923 + ... + 14453.

It is an arithmetic number, because the mean of its divisors is an integer number (1866928).

Almost surely, 2^33378828 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 33378828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44806272).

33378828 is an abundant number, since it is smaller than the sum of its proper divisors (56233716).

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

33378828 is a wasteful number, since it uses less digits than its factorization.

33378828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 2700 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 33378828 is about 5777.4413021683. The cubic root of 33378828 is about 321.9761437002.

The spelling of 33378828 in words is "thirty-three million, three hundred seventy-eight thousand, eight hundred twenty-eight".