27440928 has 72 divisors (see below), whose sum is σ = 78676416. Its totient is φ = 9072000.

The previous prime is 27440927. The next prime is 27440929. The reversal of 27440928 is 82904472.

It is an interprime number because it is at equal distance from previous prime (27440927) and next prime (27440929).

It is a tau number, because it is divible by the number of its divisors (72).

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 = 27440892 and 27440901.

It is not an unprimeable number, because it can be changed into a prime (27440927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43173 + ... + 43803.

It is an arithmetic number, because the mean of its divisors is an integer number (1092728).

Almost surely, 2^27440928 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 27440928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39338208).

27440928 is an abundant number, since it is smaller than the sum of its proper divisors (51235488).

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

27440928 is a wasteful number, since it uses less digits than its factorization.

27440928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 787 counting only the distinct ones).

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

The square root of 27440928 is about 5238.4089187462. The cubic root of 27440928 is about 301.6242567624.

The spelling of 27440928 in words is "twenty-seven million, four hundred forty thousand, nine hundred twenty-eight".