12006828 has 72 divisors (see below), whose sum is σ = 33572448. Its totient is φ = 3598848.

The previous prime is 12006781. The next prime is 12006829. The reversal of 12006828 is 82860021.

It is not an unprimeable number, because it can be changed into a prime (12006829) 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, 13650 + ... + 14502.

It is an arithmetic number, because the mean of its divisors is an integer number (466284).

Almost surely, 2^12006828 is an apocalyptic number.

12006828 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 12006828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16786224).

12006828 is an abundant number, since it is smaller than the sum of its proper divisors (21565620).

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

12006828 is a wasteful number, since it uses less digits than its factorization.

12006828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 12006828 is about 3465.0870118945. The cubic root of 12006828 is about 228.9862631043.

Adding to 12006828 its reverse (82860021), we get a palindrome (94866849).

The spelling of 12006828 in words is "twelve million, six thousand, eight hundred twenty-eight".