27873216 has 168 divisors, whose sum is σ = 94674944. Its totient is φ = 7672320.

The previous prime is 27873191. The next prime is 27873221. The reversal of 27873216 is 61237872.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124881 + ... + 125103.

Almost surely, 2^27873216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27873216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47337472).

27873216 is an abundant number, since it is smaller than the sum of its proper divisors (66801728).

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

27873216 is a wasteful number, since it uses less digits than its factorization.

27873216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 266 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 27873216 is about 5279.5090680858. The cubic root of 27873216 is about 303.1998811852.

The spelling of 27873216 in words is "twenty-seven million, eight hundred seventy-three thousand, two hundred sixteen".