12828816 has 240 divisors, whose sum is σ = 48746880. Its totient is φ = 3041280.

The previous prime is 12828811. The next prime is 12828821. The reversal of 12828816 is 61882821.

It is an interprime number because it is at equal distance from previous prime (12828811) and next prime (12828821).

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 (12828811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144100 + ... + 144188.

It is an arithmetic number, because the mean of its divisors is an integer number (203112).

Almost surely, 2^12828816 is an apocalyptic number.

12828816 is a gapful number since it is divisible by the number (16) 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 12828816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

12828816 is an abundant number, since it is smaller than the sum of its proper divisors (35918064).

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

12828816 is a wasteful number, since it uses less digits than its factorization.

12828816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 125 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 12828816 is about 3581.7336584397. The cubic root of 12828816 is about 234.0968260260.

It can be divided in two parts, 12 and 828816, that added together give a palindrome (828828).

The spelling of 12828816 in words is "twelve million, eight hundred twenty-eight thousand, eight hundred sixteen".