33290628 has 96 divisors (see below), whose sum is σ = 92494080. Its totient is φ = 9123840.

The previous prime is 33290627. The next prime is 33290629. The reversal of 33290628 is 82609233.

It is an interprime number because it is at equal distance from previous prime (33290627) and next prime (33290629).

It is a super-3 number, since 3×33290628³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33290627) 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, 374008 + ... + 374096.

It is an arithmetic number, because the mean of its divisors is an integer number (963480).

Almost surely, 2^33290628 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 33290628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46247040).

33290628 is an abundant number, since it is smaller than the sum of its proper divisors (59203452).

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

33290628 is a wasteful number, since it uses less digits than its factorization.

33290628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 33290628 is about 5769.8031162250. The cubic root of 33290628 is about 321.6922976465.

The spelling of 33290628 in words is "thirty-three million, two hundred ninety thousand, six hundred twenty-eight".