27641628 has 48 divisors (see below), whose sum is σ = 81903360. Its totient is φ = 7897392.

The previous prime is 27641623. The next prime is 27641629. The reversal of 27641628 is 82614672.

27641628 is a `hidden beast` number, since 2 + 7 + 641 + 6 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 27641592 and 27641601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27641623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17526 + ... + 19037.

It is an arithmetic number, because the mean of its divisors is an integer number (1706320).

Almost surely, 2^27641628 is an apocalyptic number.

27641628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27641628 is an abundant number, since it is smaller than the sum of its proper divisors (54261732).

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

27641628 is a wasteful number, since it uses less digits than its factorization.

27641628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36583 (or 36575 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 27641628 is about 5257.5305990550. The cubic root of 27641628 is about 302.3578203956.

The spelling of 27641628 in words is "twenty-seven million, six hundred forty-one thousand, six hundred twenty-eight".