27641152 has 112 divisors (see below), whose sum is σ = 70225920. Its totient is φ = 10483200.

The previous prime is 27641129. The next prime is 27641153. The reversal of 27641152 is 25114672.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 27641152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27641153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349849 + ... + 349927.

Almost surely, 2^27641152 is an apocalyptic number.

27641152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27641152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35112960).

27641152 is an abundant number, since it is smaller than the sum of its proper divisors (42584768).

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

27641152 is a wasteful number, since it uses less digits than its factorization.

27641152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 27641152 is about 5257.4853304598. The cubic root of 27641152 is about 302.3560848110.

It can be divided in two parts, 2764 and 1152, that added together give a triangular number (3916 = T₈₈).

The spelling of 27641152 in words is "twenty-seven million, six hundred forty-one thousand, one hundred fifty-two".