12005928 has 128 divisors (see below), whose sum is σ = 37785600. Its totient is φ = 3499200.

The previous prime is 12005923. The next prime is 12005933. The reversal of 12005928 is 82950021.

It is an interprime number because it is at equal distance from previous prime (12005923) and next prime (12005933).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12005923) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 73575 + ... + 73737.

It is an arithmetic number, because the mean of its divisors is an integer number (295200).

Almost surely, 2^12005928 is an apocalyptic number.

12005928 is a gapful number since it is divisible by the number (18) 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 12005928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18892800).

12005928 is an abundant number, since it is smaller than the sum of its proper divisors (25779672).

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

12005928 is a wasteful number, since it uses less digits than its factorization.

12005928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 12005928 is about 3464.9571425921. The cubic root of 12005928 is about 228.9805415603.

Adding to 12005928 its reverse (82950021), we get a palindrome (94955949).

The spelling of 12005928 in words is "twelve million, five thousand, nine hundred twenty-eight".