27938008 has 64 divisors (see below), whose sum is σ = 63360000. Its totient is φ = 11290752.

The previous prime is 27937979. The next prime is 27938023. The reversal of 27938008 is 80083972.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140293 + ... + 140491.

It is an arithmetic number, because the mean of its divisors is an integer number (990000).

Almost surely, 2^27938008 is an apocalyptic number.

27938008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

27938008 is the 3052-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27938008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31680000).

27938008 is an abundant number, since it is smaller than the sum of its proper divisors (35421992).

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

27938008 is a wasteful number, since it uses less digits than its factorization.

27938008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 27938008 is about 5285.6416828991. The cubic root of 27938008 is about 303.4346313317.

It can be divided in two parts, 2793 and 8008, that added together give a palindrome (10801).

The spelling of 27938008 in words is "twenty-seven million, nine hundred thirty-eight thousand, eight".