27897408 has 336 divisors, whose sum is σ = 108411264. Its totient is φ = 6635520.

The previous prime is 27897407. The next prime is 27897431. The reversal of 27897408 is 80479872.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (27897403) 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, 753966 + ... + 754002.

Almost surely, 2^27897408 is an apocalyptic number.

27897408 is a gapful number since it is divisible by the number (28) 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 27897408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54205632).

27897408 is an abundant number, since it is smaller than the sum of its proper divisors (80513856).

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

27897408 is a wasteful number, since it uses less digits than its factorization.

27897408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 27897408 is about 5281.7996932864. The cubic root of 27897408 is about 303.2875745758.

The spelling of 27897408 in words is "twenty-seven million, eight hundred ninety-seven thousand, four hundred eight".