27689850 has 144 divisors (see below), whose sum is σ = 80432352. Its totient is φ = 7076160.

The previous prime is 27689839. The next prime is 27689869. The reversal of 27689850 is 5898672.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 27689796 and 27689805.

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 71 ways as a sum of consecutive naturals, for example, 522424 + ... + 522476.

It is an arithmetic number, because the mean of its divisors is an integer number (558558).

Almost surely, 2^27689850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27689850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40216176).

27689850 is an abundant number, since it is smaller than the sum of its proper divisors (52742502).

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

27689850 is a wasteful number, since it uses less digits than its factorization.

27689850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 27689850 is about 5262.1145939632. The cubic root of 27689850 is about 302.5335436245.

The spelling of 27689850 in words is "twenty-seven million, six hundred eighty-nine thousand, eight hundred fifty".