33628350 has 48 divisors (see below), whose sum is σ = 95315328. Its totient is φ = 7686240.

The previous prime is 33628339. The next prime is 33628379. The reversal of 33628350 is 5382633.

It is a super-2 number, since 2×33628350² = 2261731847445000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14964 + ... + 17063.

It is an arithmetic number, because the mean of its divisors is an integer number (1985736).

Almost surely, 2^33628350 is an apocalyptic number.

33628350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33628350 is an abundant number, since it is smaller than the sum of its proper divisors (61686978).

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

33628350 is a wasteful number, since it uses less digits than its factorization.

33628350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32049 (or 32044 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 33628350 is about 5798.9956026885. The cubic root of 33628350 is about 322.7764590533.

The spelling of 33628350 in words is "thirty-three million, six hundred twenty-eight thousand, three hundred fifty".