12428820 has 72 divisors (see below), whose sum is σ = 39017160. Its totient is φ = 3198720.

The previous prime is 12428813. The next prime is 12428827. The reversal of 12428820 is 2882421.

12428820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12428813) and next prime (12428827).

It can be written as a sum of positive squares in 4 ways, for example, as 24336 + 12404484 = 156^2 + 3522^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12428827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4030 + ... + 6410.

It is an arithmetic number, because the mean of its divisors is an integer number (541905).

Almost surely, 2^12428820 is an apocalyptic number.

12428820 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 12428820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19508580).

12428820 is an abundant number, since it is smaller than the sum of its proper divisors (26588340).

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

12428820 is a wasteful number, since it uses less digits than its factorization.

12428820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2420 counting only the distinct ones).

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

The square root of 12428820 is about 3525.4531623608. The cubic root of 12428820 is about 231.6380851397.

The spelling of 12428820 in words is "twelve million, four hundred twenty-eight thousand, eight hundred twenty".