27941628 has 96 divisors (see below), whose sum is σ = 80720640. Its totient is φ = 7395840.

The previous prime is 27941611. The next prime is 27941629. The reversal of 27941628 is 82614972.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27941629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32176 + ... + 33032.

It is an arithmetic number, because the mean of its divisors is an integer number (840840).

Almost surely, 2^27941628 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 27941628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40360320).

27941628 is an abundant number, since it is smaller than the sum of its proper divisors (52779012).

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

27941628 is a wasteful number, since it uses less digits than its factorization.

27941628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 905 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 27941628 is about 5285.9841089432. The cubic root of 27941628 is about 303.4477363692.

The spelling of 27941628 in words is "twenty-seven million, nine hundred forty-one thousand, six hundred twenty-eight".