27440952 has 128 divisors (see below), whose sum is σ = 88473600. Its totient is φ = 6883200.

The previous prime is 27440929. The next prime is 27440953. The reversal of 27440952 is 25904472.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27440953) 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 31 ways as a sum of consecutive naturals, for example, 57049 + ... + 57527.

It is an arithmetic number, because the mean of its divisors is an integer number (691200).

Almost surely, 2^27440952 is an apocalyptic number.

27440952 is a gapful number since it is divisible by the number (22) 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 27440952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44236800).

27440952 is an abundant number, since it is smaller than the sum of its proper divisors (61032648).

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

27440952 is a wasteful number, since it uses less digits than its factorization.

27440952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 27440952 is about 5238.4112095176. The cubic root of 27440952 is about 301.6243446965.

The spelling of 27440952 in words is "twenty-seven million, four hundred forty thousand, nine hundred fifty-two".