12284928 has 132 divisors (see below), whose sum is σ = 37468288. Its totient is φ = 3870720.

The previous prime is 12284879. The next prime is 12284941. The reversal of 12284928 is 82948221.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 12284892 and 12284901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285675 + ... + 285717.

Almost surely, 2^12284928 is an apocalyptic number.

12284928 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 12284928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18734144).

12284928 is an abundant number, since it is smaller than the sum of its proper divisors (25183360).

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

12284928 is a wasteful number, since it uses less digits than its factorization.

12284928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 79 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 12284928 is about 3504.9861625975. The cubic root of 12284928 is about 230.7406996522.

The spelling of 12284928 in words is "twelve million, two hundred eighty-four thousand, nine hundred twenty-eight".