4048522128 has 320 divisors, whose sum is σ = 14437171200. Its totient is φ = 1060024320.

The previous prime is 4048522091. The next prime is 4048522133. The reversal of 4048522128 is 8212258404.

4048522128 is a `hidden beast` number, since 4 + 0 + 4 + 8 + 522 + 128 = 666.

4048522128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 4048522092 and 4048522101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1780000 + ... + 1782272.

It is an arithmetic number, because the mean of its divisors is an integer number (45116160).

Almost surely, 2^4048522128 is an apocalyptic number.

4048522128 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 4048522128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7218585600).

4048522128 is an abundant number, since it is smaller than the sum of its proper divisors (10388649072).

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

4048522128 is a wasteful number, since it uses less digits than its factorization.

4048522128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 4048522128 is about 63627.9979883070. The cubic root of 4048522128 is about 1593.7939445876.

The spelling of 4048522128 in words is "four billion, forty-eight million, five hundred twenty-two thousand, one hundred twenty-eight".