4187296128 has 64 divisors (see below), whose sum is σ = 11145841920. Its totient is φ = 1392837120.

The previous prime is 4187296121. The next prime is 4187296153. The reversal of 4187296128 is 8216927814.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4187296121) 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 7 ways as a sum of consecutive naturals, for example, 175813 + ... + 198203.

It is an arithmetic number, because the mean of its divisors is an integer number (174153780).

Almost surely, 2^4187296128 is an apocalyptic number.

4187296128 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 4187296128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5572920960).

4187296128 is an abundant number, since it is smaller than the sum of its proper divisors (6958545792).

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

4187296128 is a wasteful number, since it uses less digits than its factorization.

4187296128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22895 (or 22883 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 4187296128 is about 64709.3202560497. The cubic root of 4187296128 is about 1611.8002736785.

The spelling of 4187296128 in words is "four billion, one hundred eighty-seven million, two hundred ninety-six thousand, one hundred twenty-eight".