12828270 has 128 divisors (see below), whose sum is σ = 39223296. Its totient is φ = 2612736.

The previous prime is 12828259. The next prime is 12828271. The reversal of 12828270 is 7282821.

It is a happy number.

It is a super-3 number, since 3×12828270³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12828271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100947 + ... + 101073.

It is an arithmetic number, because the mean of its divisors is an integer number (306432).

Almost surely, 2^12828270 is an apocalyptic number.

12828270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12828270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19611648).

12828270 is an abundant number, since it is smaller than the sum of its proper divisors (26395026).

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

12828270 is a wasteful number, since it uses less digits than its factorization.

12828270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194.

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 12828270 is about 3581.6574375560. The cubic root of 12828270 is about 234.0935048913.

The spelling of 12828270 in words is "twelve million, eight hundred twenty-eight thousand, two hundred seventy".