12295628928 has 360 divisors, whose sum is σ = 40414772775. Its totient is φ = 3725948160.

The previous prime is 12295628923. The next prime is 12295628951. The reversal of 12295628928 is 82982659221.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12295628928 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 5 + 628 + 9 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6147814464 + 6147814464 = 78408^2 + 78408^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=78408.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2488320) is a multiple of the sum of its prime divisors (16).

It is not an unprimeable number, because it can be changed into a prime (12295628923) 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 44 ways as a sum of consecutive naturals, for example, 1117784443 + ... + 1117784453.

Almost surely, 2^12295628928 is an apocalyptic number.

12295628928 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 12295628928

12295628928 is an abundant number, since it is smaller than the sum of its proper divisors (28119143847).

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

12295628928 is an frugal number, since it uses more digits than its factorization.

12295628928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 16 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 12295628928 in words is "twelve billion, two hundred ninety-five million, six hundred twenty-eight thousand, nine hundred twenty-eight".