27967828 has 36 divisors (see below), whose sum is σ = 58783872. Its totient is φ = 11597040.

The previous prime is 27967811. The next prime is 27967843. The reversal of 27967828 is 82876972.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3775 + ... + 8377.

Almost surely, 2^27967828 is an apocalyptic number.

27967828 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 27967828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29391936).

27967828 is an abundant number, since it is smaller than the sum of its proper divisors (30816044).

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

27967828 is a wasteful number, since it uses less digits than its factorization.

27967828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4652 (or 4643 counting only the distinct ones).

The product of its digits is 677376, while the sum is 49.

The square root of 27967828 is about 5288.4617801399. The cubic root of 27967828 is about 303.5425512581.

The spelling of 27967828 in words is "twenty-seven million, nine hundred sixty-seven thousand, eight hundred twenty-eight".