27954948 has 48 divisors (see below), whose sum is σ = 76374144. Its totient is φ = 7791360.

The previous prime is 27954937. The next prime is 27954961. The reversal of 27954948 is 84945972.

It is a junction number, because it is equal to n+sod(n) for n = 27954897 and 27954906.

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 15 ways as a sum of consecutive naturals, for example, 615 + ... + 7502.

It is an arithmetic number, because the mean of its divisors is an integer number (1591128).

Almost surely, 2^27954948 is an apocalyptic number.

27954948 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 27954948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38187072).

27954948 is an abundant number, since it is smaller than the sum of its proper divisors (48419196).

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

27954948 is a wasteful number, since it uses less digits than its factorization.

27954948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8172 (or 8170 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 27954948 is about 5287.2438945069. The cubic root of 27954948 is about 303.4959473723.

The spelling of 27954948 in words is "twenty-seven million, nine hundred fifty-four thousand, nine hundred forty-eight".