12428190288 has 140 divisors (see below), whose sum is σ = 36203307840. Its totient is φ = 4131217728.

The previous prime is 12428190251. The next prime is 12428190293. The reversal of 12428190288 is 88209182421.

12428190288 is a `hidden beast` number, since 1 + 2 + 4 + 281 + 90 + 288 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4885945 + ... + 4888487.

It is an arithmetic number, because the mean of its divisors is an integer number (258595056).

Almost surely, 2^12428190288 is an apocalyptic number.

12428190288 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 12428190288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18101653920).

12428190288 is an abundant number, since it is smaller than the sum of its proper divisors (23775117552).

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

12428190288 is an equidigital number, since it uses as much as digits as its factorization.

12428190288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 12428190288 in words is "twelve billion, four hundred twenty-eight million, one hundred ninety thousand, two hundred eighty-eight".