27955000 has 40 divisors (see below), whose sum is σ = 65510280. Its totient is φ = 11180000.

The previous prime is 27954991. The next prime is 27955033. The reversal of 27955000 is 55972.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 27955000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2205 + ... + 7795.

It is an arithmetic number, because the mean of its divisors is an integer number (1637757).

Almost surely, 2^27955000 is an apocalyptic number.

27955000 is a gapful number since it is divisible by the number (20) 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 27955000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32755140).

27955000 is an abundant number, since it is smaller than the sum of its proper divisors (37555280).

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

27955000 is an equidigital number, since it uses as much as digits as its factorization.

27955000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5617 (or 5598 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 27955000 is about 5287.2488120004. The cubic root of 27955000 is about 303.4961355535.

The spelling of 27955000 in words is "twenty-seven million, nine hundred fifty-five thousand".