27808920 has 96 divisors (see below), whose sum is σ = 93759120. Its totient is φ = 7413120.

The previous prime is 27808897. The next prime is 27808943. The reversal of 27808920 is 2980872.

It is an interprime number because it is at equal distance from previous prime (27808897) and next prime (27808943).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8290 + ... + 11150.

Almost surely, 2^27808920 is an apocalyptic number.

27808920 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 27808920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46879560).

27808920 is an abundant number, since it is smaller than the sum of its proper divisors (65950200).

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

27808920 is a wasteful number, since it uses less digits than its factorization.

27808920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 27808920 is about 5273.4163499576. The cubic root of 27808920 is about 302.9665682161.

The spelling of 27808920 in words is "twenty-seven million, eight hundred eight thousand, nine hundred twenty".