27890688 has 88 divisors (see below), whose sum is σ = 85024192. Its totient is φ = 7962624.

The previous prime is 27890683. The next prime is 27890741. The reversal of 27890688 is 88609872.

It is a happy number.

It is a super-2 number, since 2×27890688² = 1555780954226688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27890683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20856 + ... + 22152.

It is an arithmetic number, because the mean of its divisors is an integer number (966184).

Almost surely, 2^27890688 is an apocalyptic number.

27890688 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 27890688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42512096).

27890688 is an abundant number, since it is smaller than the sum of its proper divisors (57133504).

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

27890688 is a wasteful number, since it uses less digits than its factorization.

27890688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 27890688 is about 5281.1635081675. The cubic root of 27890688 is about 303.2632203877.

The spelling of 27890688 in words is "twenty-seven million, eight hundred ninety thousand, six hundred eighty-eight".