13428180 has 96 divisors (see below), whose sum is σ = 42430080. Its totient is φ = 3569184.

The previous prime is 13428157. The next prime is 13428187. The reversal of 13428180 is 8182431.

It is a super-2 number, since 2×13428180² = 360632036224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13428187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43587 + ... + 43893.

It is an arithmetic number, because the mean of its divisors is an integer number (441980).

Almost surely, 2^13428180 is an apocalyptic number.

13428180 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 13428180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21215040).

13428180 is an abundant number, since it is smaller than the sum of its proper divisors (29001900).

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

13428180 is an equidigital number, since it uses as much as digits as its factorization.

13428180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 13428180 is about 3664.4481167019. The cubic root of 13428180 is about 237.6871581068.

The spelling of 13428180 in words is "thirteen million, four hundred twenty-eight thousand, one hundred eighty".