27871632 has 120 divisors (see below), whose sum is σ = 83952960. Its totient is φ = 8605440.

The previous prime is 27871631. The next prime is 27871633. The reversal of 27871632 is 23617872.

It is an interprime number because it is at equal distance from previous prime (27871631) and next prime (27871633).

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

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

Its product of digits (28224) is a multiple of the sum of its prime divisors (252).

It is not an unprimeable number, because it can be changed into a prime (27871631) 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, 166813 + ... + 166979.

It is an arithmetic number, because the mean of its divisors is an integer number (699608).

Almost surely, 2^27871632 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 27871632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41976480).

27871632 is an abundant number, since it is smaller than the sum of its proper divisors (56081328).

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

27871632 is a wasteful number, since it uses less digits than its factorization.

27871632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 252 counting only the distinct ones).

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

The square root of 27871632 is about 5279.3590520062. The cubic root of 27871632 is about 303.1941375864.

The spelling of 27871632 in words is "twenty-seven million, eight hundred seventy-one thousand, six hundred thirty-two".