27828990 has 96 divisors (see below), whose sum is σ = 83506176. Its totient is φ = 6298560.

The previous prime is 27828989. The next prime is 27829003. The reversal of 27828990 is 9982872.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 102555 + ... + 102825.

It is an arithmetic number, because the mean of its divisors is an integer number (869856).

Almost surely, 2^27828990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27828990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41753088).

27828990 is an abundant number, since it is smaller than the sum of its proper divisors (55677186).

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

27828990 is a wasteful number, since it uses less digits than its factorization.

27828990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 27828990 is about 5275.3189477035. The cubic root of 27828990 is about 303.0394354450.

The spelling of 27828990 in words is "twenty-seven million, eight hundred twenty-eight thousand, nine hundred ninety".