4428288000 has 468 divisors, whose sum is σ = 16495068564. Its totient is φ = 1142784000.

The previous prime is 4428287951. The next prime is 4428288019. The reversal of 4428288000 is 8828244.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 141705216 + 4286582784 = 11904^2 + 65472^2 .

It is a super-2 number, since 2×4428288000² = 39219469221888000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 142847985 + ... + 142848015.

It is an arithmetic number, because the mean of its divisors is an integer number (35245873).

Almost surely, 2^4428288000 is an apocalyptic number.

4428288000 is a gapful number since it is divisible by the number (40) 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 4428288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8247534282).

4428288000 is an abundant number, since it is smaller than the sum of its proper divisors (12066780564).

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

4428288000 is an equidigital number, since it uses as much as digits as its factorization.

4428288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 4428288000 is about 66545.3830103937. The cubic root of 4428288000 is about 1642.1467029924.

The spelling of 4428288000 in words is "four billion, four hundred twenty-eight million, two hundred eighty-eight thousand".