27880416 has 144 divisors (see below), whose sum is σ = 86400720. Its totient is φ = 8743680.

The previous prime is 27880399. The next prime is 27880417. The reversal of 27880416 is 61408872.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27880417) 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 23 ways as a sum of consecutive naturals, for example, 457026 + ... + 457086.

It is an arithmetic number, because the mean of its divisors is an integer number (600005).

Almost surely, 2^27880416 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 27880416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43200360).

27880416 is an abundant number, since it is smaller than the sum of its proper divisors (58520304).

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

27880416 is a wasteful number, since it uses less digits than its factorization.

27880416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 27880416 is about 5280.1909056397. The cubic root of 27880416 is about 303.2259857104.

The spelling of 27880416 in words is "twenty-seven million, eight hundred eighty thousand, four hundred sixteen".