12840828 has 96 divisors (see below), whose sum is σ = 40266240. Its totient is φ = 3075840.

The previous prime is 12840811. The next prime is 12840833. The reversal of 12840828 is 82804821.

12840828 = T₃₈₇ + T₃₈₈ + ... + T₅₁₂.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11478 + ... + 12546.

It is an arithmetic number, because the mean of its divisors is an integer number (419440).

Almost surely, 2^12840828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12840828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20133120).

12840828 is an abundant number, since it is smaller than the sum of its proper divisors (27425412).

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

12840828 is a wasteful number, since it uses less digits than its factorization.

12840828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 12840828 is about 3583.4101077047. The cubic root of 12840828 is about 234.1698671621.

Multiplying 12840828 by its sum of digits (33), we get a palindrome (423747324).

The spelling of 12840828 in words is "twelve million, eight hundred forty thousand, eight hundred twenty-eight".