27641988 has 108 divisors (see below), whose sum is σ = 79895088. Its totient is φ = 7990080.

The previous prime is 27641921. The next prime is 27642001. The reversal of 27641988 is 88914672.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (193536) is a multiple of the sum of its prime divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 332995 + ... + 333077.

Almost surely, 2^27641988 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 27641988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39947544).

27641988 is an abundant number, since it is smaller than the sum of its proper divisors (52253100).

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

27641988 is a wasteful number, since it uses less digits than its factorization.

27641988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 128 counting only the distinct ones).

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

The square root of 27641988 is about 5257.5648355489. The cubic root of 27641988 is about 302.3591330094.

The spelling of 27641988 in words is "twenty-seven million, six hundred forty-one thousand, nine hundred eighty-eight".