27738480 has 320 divisors, whose sum is σ = 114278400. Its totient is φ = 5391360.

The previous prime is 27738479. The next prime is 27738481. The reversal of 27738480 is 8483772.

It is an interprime number because it is at equal distance from previous prime (27738479) and next prime (27738481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27738481) 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 63 ways as a sum of consecutive naturals, for example, 351081 + ... + 351159.

It is an arithmetic number, because the mean of its divisors is an integer number (357120).

Almost surely, 2^27738480 is an apocalyptic number.

27738480 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 27738480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57139200).

27738480 is an abundant number, since it is smaller than the sum of its proper divisors (86539920).

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

27738480 is a wasteful number, since it uses less digits than its factorization.

27738480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 27738480 is about 5266.7333329114. The cubic root of 27738480 is about 302.7105471342.

The spelling of 27738480 in words is "twenty-seven million, seven hundred thirty-eight thousand, four hundred eighty".