27101928 has 64 divisors (see below), whose sum is σ = 77823360. Its totient is φ = 7704576.

The previous prime is 27101917. The next prime is 27101941. The reversal of 27101928 is 82910172.

It is a junction number, because it is equal to n+sod(n) for n = 27101895 and 27101904.

It is an unprimeable number.

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, 59076 + ... + 59532.

It is an arithmetic number, because the mean of its divisors is an integer number (1215990).

Almost surely, 2^27101928 is an apocalyptic number.

27101928 is a gapful number since it is divisible by the number (28) 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 27101928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38911680).

27101928 is an abundant number, since it is smaller than the sum of its proper divisors (50721432).

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

27101928 is a wasteful number, since it uses less digits than its factorization.

27101928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 27101928 is about 5205.9512099135. The cubic root of 27101928 is about 300.3770370561.

The spelling of 27101928 in words is "twenty-seven million, one hundred one thousand, nine hundred twenty-eight".