33628200 has 96 divisors (see below), whose sum is σ = 106868160. Its totient is φ = 8742400.

The previous prime is 33628187. The next prime is 33628213. The reversal of 33628200 is 282633.

It is an interprime number because it is at equal distance from previous prime (33628187) and next prime (33628213).

It is a super-2 number, since 2×33628200² = 2261711670480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23917 + ... + 25283.

It is an arithmetic number, because the mean of its divisors is an integer number (1113210).

Almost surely, 2^33628200 is an apocalyptic number.

33628200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33628200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434080).

33628200 is an abundant number, since it is smaller than the sum of its proper divisors (73239960).

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

33628200 is a wasteful number, since it uses less digits than its factorization.

33628200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 33628200 is about 5798.9826693999. The cubic root of 33628200 is about 322.7759791354.

The spelling of 33628200 in words is "thirty-three million, six hundred twenty-eight thousand, two hundred".