12828420 has 216 divisors, whose sum is σ = 46475520. Its totient is φ = 2851200.

The previous prime is 12828407. The next prime is 12828427. The reversal of 12828420 is 2482821.

12828420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12828420³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12828427) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 413805 + ... + 413835.

Almost surely, 2^12828420 is an apocalyptic number.

12828420 is a gapful number since it is divisible by the number (10) 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 12828420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23237760).

12828420 is an abundant number, since it is smaller than the sum of its proper divisors (33647100).

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

12828420 is a wasteful number, since it uses less digits than its factorization.

12828420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 12828420 is about 3581.6783775208. The cubic root of 12828420 is about 234.0944173003.

The spelling of 12828420 in words is "twelve million, eight hundred twenty-eight thousand, four hundred twenty".