12829248 has 42 divisors (see below), whose sum is σ = 36774374. Its totient is φ = 4276224.

The previous prime is 12829247. The next prime is 12829249. The reversal of 12829248 is 84292821.

It is an interprime number because it is at equal distance from previous prime (12829247) and next prime (12829249).

It can be written as a sum of positive squares in only one way, i.e., 6718464 + 6110784 = 2592^2 + 2472^2 .

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 not an unprimeable number, because it can be changed into a prime (12829247) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10561 + ... + 11712.

Almost surely, 2^12829248 is an apocalyptic number.

12829248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12829248 is an abundant number, since it is smaller than the sum of its proper divisors (23945126).

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

12829248 is a wasteful number, since it uses less digits than its factorization.

12829248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22291 (or 22278 counting only the distinct ones).

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

The square root of 12829248 is about 3581.7939639237. The cubic root of 12829248 is about 234.0994536703.

The spelling of 12829248 in words is "twelve million, eight hundred twenty-nine thousand, two hundred forty-eight".