4428367164 has 216 divisors, whose sum is σ = 13209159600. Its totient is φ = 1245404160.

The previous prime is 4428367127. The next prime is 4428367171. The reversal of 4428367164 is 4617638244.

4428367164 is a `hidden beast` number, since 4 + 428 + 3 + 67 + 164 = 666.

It is a super-2 number, since 2×4428367164² = 39220871478386805792, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 3351624 + ... + 3352944.

Almost surely, 2^4428367164 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 4428367164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604579800).

4428367164 is an abundant number, since it is smaller than the sum of its proper divisors (8780792436).

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

4428367164 is a wasteful number, since it uses less digits than its factorization.

4428367164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1387 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 4428367164 is about 66545.9778198502. The cubic root of 4428367164 is about 1642.1564884239.

The spelling of 4428367164 in words is "four billion, four hundred twenty-eight million, three hundred sixty-seven thousand, one hundred sixty-four".