12628461600 has 288 divisors, whose sum is σ = 45927060480. Its totient is φ = 3348864000.

The previous prime is 12628461557. The next prime is 12628461607. The reversal of 12628461600 is 616482621.

12628461600 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 8 + 46 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (12628461607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4124070 + ... + 4127130.

It is an arithmetic number, because the mean of its divisors is an integer number (159468960).

Almost surely, 2^12628461600 is an apocalyptic number.

12628461600 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 12628461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22963530240).

12628461600 is an abundant number, since it is smaller than the sum of its proper divisors (33298598880).

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

12628461600 is a wasteful number, since it uses less digits than its factorization.

12628461600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12628461600 in words is "twelve billion, six hundred twenty-eight million, four hundred sixty-one thousand, six hundred".