27641952 has 192 divisors, whose sum is σ = 91445760. Its totient is φ = 8059392.

The previous prime is 27641921. The next prime is 27642001. The reversal of 27641952 is 25914672.

27641952 is a `hidden beast` number, since 2 + 7 + 641 + 9 + 5 + 2 = 666.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258283 + ... + 258389.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 2^27641952 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 27641952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722880).

27641952 is an abundant number, since it is smaller than the sum of its proper divisors (63803808).

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

27641952 is a wasteful number, since it uses less digits than its factorization.

27641952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 27641952 is about 5257.5614119095. The cubic root of 27641952 is about 302.3590017485.

The spelling of 27641952 in words is "twenty-seven million, six hundred forty-one thousand, nine hundred fifty-two".