27822872 has 96 divisors (see below), whose sum is σ = 68636160. Its totient is φ = 10267200.

The previous prime is 27822871. The next prime is 27822877.

27822872 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×27822872² = 1548224412656768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (50176) is a multiple of the sum of its prime divisors (98).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27822871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591953 + ... + 591999.

It is an arithmetic number, because the mean of its divisors is an integer number (714960).

Almost surely, 2^27822872 is an apocalyptic number.

27822872 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 27822872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34318080).

27822872 is an abundant number, since it is smaller than the sum of its proper divisors (40813288).

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

27822872 is a wasteful number, since it uses less digits than its factorization.

27822872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 98 counting only the distinct ones).

The product of its digits is 50176, while the sum is 38.

The square root of 27822872 is about 5274.7390456780. The cubic root of 27822872 is about 303.0172268160.

The spelling of 27822872 in words is "twenty-seven million, eight hundred twenty-two thousand, eight hundred seventy-two".