4382628096 has 288 divisors, whose sum is σ = 14942850048. Its totient is φ = 1107025920.

The previous prime is 4382628079. The next prime is 4382628109. The reversal of 4382628096 is 6908262834.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2187031 + ... + 2189033.

It is an arithmetic number, because the mean of its divisors is an integer number (51884896).

Almost surely, 2^4382628096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4382628096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7471425024).

4382628096 is an abundant number, since it is smaller than the sum of its proper divisors (10560221952).

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

4382628096 is a wasteful number, since it uses less digits than its factorization.

4382628096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 4382628096 is about 66201.4206494090. The cubic root of 4382628096 is about 1636.4831558582.

The spelling of 4382628096 in words is "four billion, three hundred eighty-two million, six hundred twenty-eight thousand, ninety-six".