4425337728 has 384 divisors, whose sum is σ = 16230240000. Its totient is φ = 1126711296.

The previous prime is 4425337673. The next prime is 4425337729. The reversal of 4425337728 is 8277335244.

4425337728 is a `hidden beast` number, since 4 + 4 + 253 + 377 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4425337728² = 39167228013720403968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4425337729) 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 47 ways as a sum of consecutive naturals, for example, 2603823 + ... + 2605521.

It is an arithmetic number, because the mean of its divisors is an integer number (42266250).

Almost surely, 2^4425337728 is an apocalyptic number.

4425337728 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 4425337728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8115120000).

4425337728 is an abundant number, since it is smaller than the sum of its proper divisors (11804902272).

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

4425337728 is a wasteful number, since it uses less digits than its factorization.

4425337728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1747 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The square root of 4425337728 is about 66523.2119489130. The cubic root of 4425337728 is about 1641.7819378165.

The spelling of 4425337728 in words is "four billion, four hundred twenty-five million, three hundred thirty-seven thousand, seven hundred twenty-eight".