27957930 has 256 divisors, whose sum is σ = 96768000. Its totient is φ = 5080320.

The previous prime is 27957929. The next prime is 27957959. The reversal of 27957930 is 3975972.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1471461 + ... + 1471479.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 2^27957930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27957930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384000).

27957930 is an abundant number, since it is smaller than the sum of its proper divisors (68810070).

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

27957930 is a wasteful number, since it uses less digits than its factorization.

27957930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 42.

The square root of 27957930 is about 5287.5258864615. The cubic root of 27957930 is about 303.5067384583.

The spelling of 27957930 in words is "twenty-seven million, nine hundred fifty-seven thousand, nine hundred thirty".