12845628 has 60 divisors (see below), whose sum is σ = 34435632. Its totient is φ = 4173120.

The previous prime is 12845611. The next prime is 12845639. The reversal of 12845628 is 82654821.

12845628 is a `hidden beast` number, since 1 + 28 + 4 + 5 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (30720) is a multiple of the sum of its prime factors (1024).

It is a junction number, because it is equal to n+sod(n) for n = 12845592 and 12845601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12801 + ... + 13767.

Almost surely, 2^12845628 is an apocalyptic number.

12845628 is a gapful number since it is divisible by the number (18) 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 12845628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17217816).

12845628 is an abundant number, since it is smaller than the sum of its proper divisors (21590004).

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

12845628 is a wasteful number, since it uses less digits than its factorization.

12845628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1013 counting only the distinct ones).

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

The square root of 12845628 is about 3584.0797982188. The cubic root of 12845628 is about 234.1990416914.

The spelling of 12845628 in words is "twelve million, eight hundred forty-five thousand, six hundred twenty-eight".