27729104 has 40 divisors (see below), whose sum is σ = 59865960. Its totient is φ = 12354048.

The previous prime is 27729103. The next prime is 27729127. The reversal of 27729104 is 40192772.

It can be written as a sum of positive squares in 4 ways, for example, as 61504 + 27667600 = 248^2 + 5260^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27729101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3734 + ... + 8330.

It is an arithmetic number, because the mean of its divisors is an integer number (1496649).

Almost surely, 2^27729104 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 27729104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29932980).

27729104 is an abundant number, since it is smaller than the sum of its proper divisors (32136856).

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

27729104 is a wasteful number, since it uses less digits than its factorization.

27729104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4647 (or 4641 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 27729104 is about 5265.8431423657. The cubic root of 27729104 is about 302.6764364700.

The spelling of 27729104 in words is "twenty-seven million, seven hundred twenty-nine thousand, one hundred four".