27962928 has 120 divisors (see below), whose sum is σ = 93438960. Its totient is φ = 7983360.

The previous prime is 27962923. The next prime is 27962929. The reversal of 27962928 is 82926972.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (27962923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20508 + ... + 21828.

It is an arithmetic number, because the mean of its divisors is an integer number (778658).

Almost surely, 2^27962928 is an apocalyptic number.

27962928 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 27962928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46719480).

27962928 is an abundant number, since it is smaller than the sum of its proper divisors (65476032).

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

27962928 is a wasteful number, since it uses less digits than its factorization.

27962928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1333 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 27962928 is about 5287.9984871405. The cubic root of 27962928 is about 303.5248232055.

The spelling of 27962928 in words is "twenty-seven million, nine hundred sixty-two thousand, nine hundred twenty-eight".