12828465 has 24 divisors (see below), whose sum is σ = 23947560. Its totient is φ = 6315264.

The previous prime is 12828463. The next prime is 12828481. The reversal of 12828465 is 56482821.

It can be written as a sum of positive squares in 4 ways, for example, as 2792241 + 10036224 = 1671^2 + 3168^2 .

It is not a de Polignac number, because 12828465 - 2¹ = 12828463 is a prime.

It is a super-3 number, since 3×12828465³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12828461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10380 + ... + 11549.

It is an arithmetic number, because the mean of its divisors is an integer number (997815).

Almost surely, 2^12828465 is an apocalyptic number.

12828465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12828465 is a deficient number, since it is larger than the sum of its proper divisors (11119095).

12828465 is a wasteful number, since it uses less digits than its factorization.

12828465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21953 (or 21950 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 12828465 is about 3581.6846594864. The cubic root of 12828465 is about 234.0946910217.

The spelling of 12828465 in words is "twelve million, eight hundred twenty-eight thousand, four hundred sixty-five".