27850000 has 60 divisors (see below), whose sum is σ = 67565988. Its totient is φ = 11120000.

The previous prime is 27849979. The next prime is 27850003. The reversal of 27850000 is 5872.

It can be written as a sum of positive squares in 6 ways, for example, as 26873856 + 976144 = 5184^2 + 988^2 .

It is not an unprimeable number, because it can be changed into a prime (27850003) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 49722 + ... + 50278.

Almost surely, 2^27850000 is an apocalyptic number.

27850000 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 27850000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33782994).

27850000 is an abundant number, since it is smaller than the sum of its proper divisors (39715988).

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

27850000 is an frugal number, since it uses more digits than its factorization.

27850000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 27850000 is about 5277.3099207835. The cubic root of 27850000 is about 303.1156779646.

Adding to 27850000 its reverse (5872), we get a palindrome (27855872).

The spelling of 27850000 in words is "twenty-seven million, eight hundred fifty thousand".