4428315360 has 576 divisors, whose sum is σ = 18307441152. Its totient is φ = 989853696.

The previous prime is 4428315349. The next prime is 4428315371. The reversal of 4428315360 is 635138244.

4428315360 is a `hidden beast` number, since 4 + 4 + 283 + 15 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (4428315349) and next prime (4428315371).

It is a super-2 number, since 2×4428315360² = 39219953855223859200, 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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14424327 + ... + 14424633.

It is an arithmetic number, because the mean of its divisors is an integer number (31783752).

Almost surely, 2^4428315360 is an apocalyptic number.

4428315360 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 4428315360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9153720576).

4428315360 is an abundant number, since it is smaller than the sum of its proper divisors (13879125792).

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

4428315360 is a wasteful number, since it uses less digits than its factorization.

4428315360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4428315360 is about 66545.5885840677. The cubic root of 4428315360 is about 1642.1500849647.

The spelling of 4428315360 in words is "four billion, four hundred twenty-eight million, three hundred fifteen thousand, three hundred sixty".