27820950 has 72 divisors (see below), whose sum is σ = 71662824. Its totient is φ = 7142400.

The previous prime is 27820937. The next prime is 27820987. The reversal of 27820950 is 5902872.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144054 + ... + 144246.

It is an arithmetic number, because the mean of its divisors is an integer number (995317).

Almost surely, 2^27820950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27820950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35831412).

27820950 is an abundant number, since it is smaller than the sum of its proper divisors (43841874).

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

27820950 is a wasteful number, since it uses less digits than its factorization.

27820950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 27820950 is about 5274.5568534238. The cubic root of 27820950 is about 303.0102491931.

The spelling of 27820950 in words is "twenty-seven million, eight hundred twenty thousand, nine hundred fifty".