13828180 has 12 divisors (see below), whose sum is σ = 29039220. Its totient is φ = 5531264.

The previous prime is 13828169. The next prime is 13828183. The reversal of 13828180 is 8182831.

It can be written as a sum of positive squares in 2 ways, for example, as 2022084 + 11806096 = 1422^2 + 3436^2 .

It is a super-2 number, since 2×13828180² = 382437124224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13828183) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 345685 + ... + 345724.

It is an arithmetic number, because the mean of its divisors is an integer number (2419935).

Almost surely, 2^13828180 is an apocalyptic number.

13828180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13828180 is an abundant number, since it is smaller than the sum of its proper divisors (15211040).

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

13828180 is a wasteful number, since it uses less digits than its factorization.

13828180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691418 (or 691416 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 13828180 is about 3718.6260903726. The cubic root of 13828180 is about 240.0241873771.

The spelling of 13828180 in words is "thirteen million, eight hundred twenty-eight thousand, one hundred eighty".