12828160 has 40 divisors (see below), whose sum is σ = 30763656. Its totient is φ = 5130240.

The previous prime is 12828139. The next prime is 12828161. The reversal of 12828160 is 6182821.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×12828160³ (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 (12828161) 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, 55 + ... + 5065.

Almost surely, 2^12828160 is an apocalyptic number.

12828160 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 12828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15381828).

12828160 is an abundant number, since it is smaller than the sum of its proper divisors (17935496).

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

12828160 is an frugal number, since it uses more digits than its factorization.

12828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 12828160 is about 3581.6420815040. The cubic root of 12828160 is about 234.0928357868.

The spelling of 12828160 in words is "twelve million, eight hundred twenty-eight thousand, one hundred sixty".