2328864048 has 400 divisors, whose sum is σ = 8282208000. Its totient is φ = 616978944.

The previous prime is 2328864007. The next prime is 2328864059. The reversal of 2328864048 is 8404688232.

2328864048 is a `hidden beast` number, since 232 + 8 + 8 + 6 + 404 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2328863994 and 2328864012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10169598 + ... + 10169826.

It is an arithmetic number, because the mean of its divisors is an integer number (20705520).

Almost surely, 2^2328864048 is an apocalyptic number.

2328864048 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 2328864048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141104000).

2328864048 is an abundant number, since it is smaller than the sum of its proper divisors (5953343952).

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

2328864048 is a wasteful number, since it uses less digits than its factorization.

2328864048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 2328864048 is about 48258.3054820618. The cubic root of 2328864048 is about 1325.5050260434.

The spelling of 2328864048 in words is "two billion, three hundred twenty-eight million, eight hundred sixty-four thousand, forty-eight".