4128822368 has 192 divisors, whose sum is σ = 9915333120. Its totient is φ = 1669324800.

The previous prime is 4128822353. The next prime is 4128822371. The reversal of 4128822368 is 8632288214.

Together with 5786510751 it forms a betrothed pair.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18029678 + ... + 18029906.

It is an arithmetic number, because the mean of its divisors is an integer number (51642360).

Almost surely, 2^4128822368 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 4128822368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4957666560).

4128822368 is an abundant number, since it is smaller than the sum of its proper divisors (5786510752).

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

4128822368 is a wasteful number, since it uses less digits than its factorization.

4128822368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its digits is 294912, while the sum is 44.

The square root of 4128822368 is about 64255.9130975508. The cubic root of 4128822368 is about 1604.2623808188.

The spelling of 4128822368 in words is "four billion, one hundred twenty-eight million, eight hundred twenty-two thousand, three hundred sixty-eight".