27930000 has 300 divisors, whose sum is σ = 110402160. Its totient is φ = 6048000.

The previous prime is 27929983. The next prime is 27930013. The reversal of 27930000 is 3972.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 59 ways as a sum of consecutive naturals, for example, 1469991 + ... + 1470009.

Almost surely, 2^27930000 is an apocalyptic number.

27930000 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 27930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55201080).

27930000 is an abundant number, since it is smaller than the sum of its proper divisors (82472160).

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

27930000 is a wasteful number, since it uses less digits than its factorization.

27930000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 27930000 is about 5284.8841046895. The cubic root of 27930000 is about 303.4056369390.

Adding to 27930000 its reverse (3972), we get a palindrome (27933972).

The spelling of 27930000 in words is "twenty-seven million, nine hundred thirty thousand".