12828000 has 96 divisors (see below), whose sum is σ = 42063840. Its totient is φ = 3417600.

The previous prime is 12827993. The next prime is 12828001. The reversal of 12828000 is 82821.

Added to its reverse (82821) it gives a triangular number (12910821 = T₅₀₈₁).

12828000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12828001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11466 + ... + 12534.

It is an arithmetic number, because the mean of its divisors is an integer number (438165).

Almost surely, 2^12828000 is an apocalyptic number.

12828000 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 12828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21031920).

12828000 is an abundant number, since it is smaller than the sum of its proper divisors (29235840).

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

12828000 is a wasteful number, since it uses less digits than its factorization.

12828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 12828000 is about 3581.6197453108. The cubic root of 12828000 is about 234.0918625371.

Adding to 12828000 its reverse (82821), we get a triangular number (12910821 = T₅₀₈₁).

The spelling of 12828000 in words is "twelve million, eight hundred twenty-eight thousand".