33630828 has 96 divisors (see below), whose sum is σ = 103638528. Its totient is φ = 8217600.

The previous prime is 33630823. The next prime is 33630841. The reversal of 33630828 is 82803633.

It is a super-2 number, since 2×33630828² = 2262065183931168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (33630823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14638 + ... + 16778.

It is an arithmetic number, because the mean of its divisors is an integer number (1079568).

Almost surely, 2^33630828 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 33630828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51819264).

33630828 is an abundant number, since it is smaller than the sum of its proper divisors (70007700).

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

33630828 is a wasteful number, since it uses less digits than its factorization.

33630828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 33630828 is about 5799.2092564418. The cubic root of 33630828 is about 322.7843870904.

The spelling of 33630828 in words is "thirty-three million, six hundred thirty thousand, eight hundred twenty-eight".