4188028059648 has 360 divisors, whose sum is σ = 12832781899392. Its totient is φ = 1311560957952.

The previous prime is 4188028059643. The next prime is 4188028059673. The reversal of 4188028059648 is 8469508208814.

4188028059648 is a `hidden beast` number, since 4 + 18 + 8 + 0 + 28 + 0 + 596 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4188028059643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1897610161 + ... + 1897612367.

Almost surely, 2^{4188028059648} is an apocalyptic number.

4188028059648 is a gapful number since it is divisible by the number (48) 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 4188028059648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6416390949696).

4188028059648 is an abundant number, since it is smaller than the sum of its proper divisors (8644753839744).

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

4188028059648 is a wasteful number, since it uses less digits than its factorization.

4188028059648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 4188028059648 in words is "four trillion, one hundred eighty-eight billion, twenty-eight million, fifty-nine thousand, six hundred forty-eight".