12628224 has 216 divisors, whose sum is σ = 44640960. Its totient is φ = 3483648.

The previous prime is 12628223. The next prime is 12628243. The reversal of 12628224 is 42282621.

It is a happy number.

12628224 is a `hidden beast` number, since 12 + 628 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12628223) 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, 435442 + ... + 435470.

Almost surely, 2^12628224 is an apocalyptic number.

12628224 is a gapful number since it is divisible by the number (14) 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 12628224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320480).

12628224 is an abundant number, since it is smaller than the sum of its proper divisors (32012736).

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

12628224 is an frugal number, since it uses more digits than its factorization.

12628224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 41 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 12628224 is about 3553.6212516249. The cubic root of 12628224 is about 232.8702944275.

The spelling of 12628224 in words is "twelve million, six hundred twenty-eight thousand, two hundred twenty-four".