27873872 has 40 divisors (see below), whose sum is σ = 60178440. Its totient is φ = 12418560.

The previous prime is 27873871. The next prime is 27873947. The reversal of 27873872 is 27837872.

It can be written as a sum of positive squares in 4 ways, for example, as 583696 + 27290176 = 764^2 + 5224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27873871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3722 + ... + 8342.

It is an arithmetic number, because the mean of its divisors is an integer number (1504461).

Almost surely, 2^27873872 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 27873872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30089220).

27873872 is an abundant number, since it is smaller than the sum of its proper divisors (32304568).

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

27873872 is a wasteful number, since it uses less digits than its factorization.

27873872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671 (or 4665 counting only the distinct ones).

The product of its digits is 263424, while the sum is 44.

The square root of 27873872 is about 5279.5711947089. The cubic root of 27873872 is about 303.2022597836.

The spelling of 27873872 in words is "twenty-seven million, eight hundred seventy-three thousand, eight hundred seventy-two".