27832440 has 64 divisors (see below), whose sum is σ = 85548960. Its totient is φ = 7239680.

The previous prime is 27832439. The next prime is 27832463. The reversal of 27832440 is 4423872.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 27832398 and 27832407.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2092 + ... + 7748.

Almost surely, 2^27832440 is an apocalyptic number.

27832440 is a gapful number since it is divisible by the number (20) 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 27832440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42774480).

27832440 is an abundant number, since it is smaller than the sum of its proper divisors (57716520).

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

27832440 is a wasteful number, since it uses less digits than its factorization.

27832440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5712 (or 5708 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 27832440 is about 5275.6459320163. The cubic root of 27832440 is about 303.0519576727.

The spelling of 27832440 in words is "twenty-seven million, eight hundred thirty-two thousand, four hundred forty".