27993900 has 144 divisors (see below), whose sum is σ = 93744000. Its totient is φ = 6374400.

The previous prime is 27993877. The next prime is 27993913. The reversal of 27993900 is 939972.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55851 + ... + 56349.

It is an arithmetic number, because the mean of its divisors is an integer number (651000).

Almost surely, 2^27993900 is an apocalyptic number.

27993900 is a gapful number since it is divisible by the number (20) 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 27993900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46872000).

27993900 is an abundant number, since it is smaller than the sum of its proper divisors (65750100).

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

27993900 is a wasteful number, since it uses less digits than its factorization.

27993900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 39.

The square root of 27993900 is about 5290.9261949114. The cubic root of 27993900 is about 303.6368441661.

The spelling of 27993900 in words is "twenty-seven million, nine hundred ninety-three thousand, nine hundred".