27898080 has 288 divisors, whose sum is σ = 110605824. Its totient is φ = 5778432.

The previous prime is 27898069. The next prime is 27898093. The reversal of 27898080 is 8089872.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 1212949 + ... + 1212971.

It is an arithmetic number, because the mean of its divisors is an integer number (384048).

Almost surely, 2^27898080 is an apocalyptic number.

27898080 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 27898080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55302912).

27898080 is an abundant number, since it is smaller than the sum of its proper divisors (82707744).

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

27898080 is a wasteful number, since it uses less digits than its factorization.

27898080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 27898080 is about 5281.8633075838. The cubic root of 27898080 is about 303.2900097796.

The spelling of 27898080 in words is "twenty-seven million, eight hundred ninety-eight thousand, eighty".