4948120128 has 224 divisors, whose sum is σ = 15683788800. Its totient is φ = 1346881536.

The previous prime is 4948120127. The next prime is 4948120153. The reversal of 4948120128 is 8210218494.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×4948120128² = 48967785602237472768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4948120127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3078301 + ... + 3079907.

Almost surely, 2^4948120128 is an apocalyptic number.

4948120128 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 4948120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7841894400).

4948120128 is an abundant number, since it is smaller than the sum of its proper divisors (10735668672).

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

4948120128 is a wasteful number, since it uses less digits than its factorization.

4948120128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 4948120128 is about 70342.8754601346. The cubic root of 4948120128 is about 1704.0411504533.

The spelling of 4948120128 in words is "four billion, nine hundred forty-eight million, one hundred twenty thousand, one hundred twenty-eight".