27952344 has 192 divisors, whose sum is σ = 95760000. Its totient is φ = 7511616.

The previous prime is 27952343. The next prime is 27952349. The reversal of 27952344 is 44325972.

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 = 27952299 and 27952308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27952343) 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 47 ways as a sum of consecutive naturals, for example, 201027 + ... + 201165.

It is an arithmetic number, because the mean of its divisors is an integer number (498750).

Almost surely, 2^27952344 is an apocalyptic number.

27952344 is a gapful number since it is divisible by the number (24) 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 27952344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47880000).

27952344 is an abundant number, since it is smaller than the sum of its proper divisors (67807656).

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

27952344 is a wasteful number, since it uses less digits than its factorization.

27952344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 170 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 27952344 is about 5286.9976357097. The cubic root of 27952344 is about 303.4865235429.

The spelling of 27952344 in words is "twenty-seven million, nine hundred fifty-two thousand, three hundred forty-four".