2872127328 has 192 divisors, whose sum is σ = 8797662720. Its totient is φ = 803561472.

The previous prime is 2872127327. The next prime is 2872127333. The reversal of 2872127328 is 8237212782.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2872127328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2872127327) 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, 8276851 + ... + 8277197.

It is an arithmetic number, because the mean of its divisors is an integer number (45821160).

Almost surely, 2^2872127328 is an apocalyptic number.

2872127328 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 2872127328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4398831360).

2872127328 is an abundant number, since it is smaller than the sum of its proper divisors (5925535392).

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

2872127328 is a wasteful number, since it uses less digits than its factorization.

2872127328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 581 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 2872127328 is about 53592.2319744196. The cubic root of 2872127328 is about 1421.4597380697.

The spelling of 2872127328 in words is "two billion, eight hundred seventy-two million, one hundred twenty-seven thousand, three hundred twenty-eight".