2928683729664 has 216 divisors, whose sum is σ = 10527731165952. Its totient is φ = 760697026560.

The previous prime is 2928683729641. The next prime is 2928683729701. The reversal of 2928683729664 is 4669273868292.

2928683729664 is a `hidden beast` number, since 2 + 92 + 86 + 8 + 372 + 96 + 6 + 4 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 2928683729592 and 2928683729601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8076684 + ... + 8431499.

Almost surely, 2^{2928683729664} is an apocalyptic number.

2928683729664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2928683729664 is an abundant number, since it is smaller than the sum of its proper divisors (7599047436288).

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

2928683729664 is a wasteful number, since it uses less digits than its factorization.

2928683729664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16508223 (or 16508206 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 72.

The spelling of 2928683729664 in words is "two trillion, nine hundred twenty-eight billion, six hundred eighty-three million, seven hundred twenty-nine thousand, six hundred sixty-four".