2048272128 has 162 divisors, whose sum is σ = 6870243744. Its totient is φ = 585188352.

The previous prime is 2048272123. The next prime is 2048272133. The reversal of 2048272128 is 8212728402.

It is an interprime number because it is at equal distance from previous prime (2048272123) and next prime (2048272133).

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 = 2048272092 and 2048272101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048272123) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103825 + ... + 121967.

It is an arithmetic number, because the mean of its divisors is an integer number (42408912).

Almost surely, 2^2048272128 is an apocalyptic number.

2048272128 is a gapful number since it is divisible by the number (28) 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 2048272128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435121872).

2048272128 is an abundant number, since it is smaller than the sum of its proper divisors (4821971616).

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

2048272128 is a wasteful number, since it uses less digits than its factorization.

2048272128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18179 (or 18155 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2048272128 is about 45257.8405141032. The cubic root of 2048272128 is about 1269.9770859941.

The spelling of 2048272128 in words is "two billion, forty-eight million, two hundred seventy-two thousand, one hundred twenty-eight".