27988800 has 336 divisors, whose sum is σ = 113385600. Its totient is φ = 6021120.

The previous prime is 27988789. The next prime is 27988811. The reversal of 27988800 is 888972.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27988789) and next prime (27988811).

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

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1646392 + ... + 1646408.

Almost surely, 2^27988800 is an apocalyptic number.

27988800 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 27988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56692800).

27988800 is an abundant number, since it is smaller than the sum of its proper divisors (85396800).

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

27988800 is a wasteful number, since it uses less digits than its factorization.

27988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 34 counting only the distinct ones).

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

The square root of 27988800 is about 5290.4442157535. Note that the first 3 decimals coincide. The cubic root of 27988800 is about 303.6184039350.

The spelling of 27988800 in words is "twenty-seven million, nine hundred eighty-eight thousand, eight hundred".