2928431905824 has 24 divisors (see below), whose sum is σ = 7687133753040. Its totient is φ = 976143968576.

The previous prime is 2928431905823. The next prime is 2928431905837. The reversal of 2928431905824 is 4285091348292.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2928431905823) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 15252249414 + ... + 15252249605.

It is an arithmetic number, because the mean of its divisors is an integer number (320297239710).

Almost surely, 2^{2928431905824} is an apocalyptic number.

2928431905824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2928431905824 is an abundant number, since it is smaller than the sum of its proper divisors (4758701847216).

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

2928431905824 is a wasteful number, since it uses less digits than its factorization.

2928431905824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30504499032 (or 30504499024 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 2928431905824 in words is "two trillion, nine hundred twenty-eight billion, four hundred thirty-one million, nine hundred five thousand, eight hundred twenty-four".