27841968 has 280 divisors, whose sum is σ = 104088576. Its totient is φ = 6998400.

The previous prime is 27841967. The next prime is 27842021. The reversal of 27841968 is 86914872.

It is a super-2 number, since 2×27841968² = 1550350364226048, which contains 22 as substring.

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

Its product of digits (193536) is a multiple of the sum of its prime divisors (54).

It is not an unprimeable number, because it can be changed into a prime (27841967) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 898113 + ... + 898143.

Almost surely, 2^27841968 is an apocalyptic number.

27841968 is a gapful number since it is divisible by the number (28) 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 27841968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52044288).

27841968 is an abundant number, since it is smaller than the sum of its proper divisors (76246608).

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

27841968 is a wasteful number, since it uses less digits than its factorization.

27841968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 54 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 27841968 is about 5276.5488721322. The cubic root of 27841968 is about 303.0865354247.

The spelling of 27841968 in words is "twenty-seven million, eight hundred forty-one thousand, nine hundred sixty-eight".