12928248 has 80 divisors (see below), whose sum is σ = 36851760. Its totient is φ = 4233600.

The previous prime is 12928247. The next prime is 12928261. The reversal of 12928248 is 84282921.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (12928247) 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 19 ways as a sum of consecutive naturals, for example, 45868 + ... + 46148.

It is an arithmetic number, because the mean of its divisors is an integer number (460647).

Almost surely, 2^12928248 is an apocalyptic number.

12928248 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 12928248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18425880).

12928248 is an abundant number, since it is smaller than the sum of its proper divisors (23923512).

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

12928248 is a wasteful number, since it uses less digits than its factorization.

12928248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 357 counting only the distinct ones).

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

The square root of 12928248 is about 3595.5872955610. The cubic root of 12928248 is about 234.7000730822.

The spelling of 12928248 in words is "twelve million, nine hundred twenty-eight thousand, two hundred forty-eight".