12628000 has 192 divisors, whose sum is σ = 39626496. Its totient is φ = 3840000.

The previous prime is 12627983. The next prime is 12628001. The reversal of 12628000 is 82621.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12628001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307980 + ... + 308020.

It is an arithmetic number, because the mean of its divisors is an integer number (206388).

Almost surely, 2^12628000 is an apocalyptic number.

12628000 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 12628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248).

12628000 is an abundant number, since it is smaller than the sum of its proper divisors (26998496).

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

12628000 is a wasteful number, since it uses less digits than its factorization.

12628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 12628000 is about 3553.5897343391. The cubic root of 12628000 is about 232.8689175315.

The spelling of 12628000 in words is "twelve million, six hundred twenty-eight thousand".