27890128 has 40 divisors (see below), whose sum is σ = 62085312. Its totient is φ = 11889408.

The previous prime is 27890123. The next prime is 27890143. The reversal of 27890128 is 82109872.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27890123) 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 7 ways as a sum of consecutive naturals, for example, 24876 + ... + 25972.

Almost surely, 2^27890128 is an apocalyptic number.

27890128 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 27890128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31042656).

27890128 is an abundant number, since it is smaller than the sum of its proper divisors (34195184).

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

27890128 is a wasteful number, since it uses less digits than its factorization.

27890128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 27890128 is about 5281.1104892816. The cubic root of 27890128 is about 303.2611906954.

The spelling of 27890128 in words is "twenty-seven million, eight hundred ninety thousand, one hundred twenty-eight".