2928336386688 has 96 divisors (see below), whose sum is σ = 8605882359360. Its totient is φ = 955343768064.

The previous prime is 2928336386681. The next prime is 2928336386719. The reversal of 2928336386688 is 8866836338292.

2928336386688 is a `hidden beast` number, since 2 + 92 + 83 + 3 + 6 + 386 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 (2928336386681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26987970 + ... + 27096257.

It is an arithmetic number, because the mean of its divisors is an integer number (89644607910).

Almost surely, 2^{2928336386688} is an apocalyptic number.

It is an amenable number.

2928336386688 is an abundant number, since it is smaller than the sum of its proper divisors (5677545972672).

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

2928336386688 is a wasteful number, since it uses less digits than its factorization.

2928336386688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54084294 (or 54084279 counting only the distinct ones).

The product of its digits is 859963392, while the sum is 72.

The spelling of 2928336386688 in words is "two trillion, nine hundred twenty-eight billion, three hundred thirty-six million, three hundred eighty-six thousand, six hundred eighty-eight".