2127488328 has 192 divisors, whose sum is σ = 6918912000. Its totient is φ = 599856192.

The previous prime is 2127488327. The next prime is 2127488353. The reversal of 2127488328 is 8238847212.

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

It is not an unprimeable number, because it can be changed into a prime (2127488327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1074043 + ... + 1076021.

It is an arithmetic number, because the mean of its divisors is an integer number (36036000).

Almost surely, 2^2127488328 is an apocalyptic number.

2127488328 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 2127488328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459456000).

2127488328 is an abundant number, since it is smaller than the sum of its proper divisors (4791423672).

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

2127488328 is a wasteful number, since it uses less digits than its factorization.

2127488328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2070 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 2127488328 is about 46124.7040966118. The cubic root of 2127488328 is about 1286.1424185621.

The spelling of 2127488328 in words is "two billion, one hundred twenty-seven million, four hundred eighty-eight thousand, three hundred twenty-eight".