27879852 has 144 divisors (see below), whose sum is σ = 88422656. Its totient is φ = 6652800.

The previous prime is 27879851. The next prime is 27879871. The reversal of 27879852 is 25897872.

It is a super-2 number, since 2×27879852² = 1554572295083808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27879851) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 132027 + ... + 132237.

Almost surely, 2^27879852 is an apocalyptic number.

27879852 is a gapful number since it is divisible by the number (22) 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 27879852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44211328).

27879852 is an abundant number, since it is smaller than the sum of its proper divisors (60542804).

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

27879852 is a wasteful number, since it uses less digits than its factorization.

27879852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 247 counting only the distinct ones).

The product of its digits is 564480, while the sum is 48.

The square root of 27879852 is about 5280.1374982097. The cubic root of 27879852 is about 303.2239410181.

The spelling of 27879852 in words is "twenty-seven million, eight hundred seventy-nine thousand, eight hundred fifty-two".