5928459145280 has 224 divisors, whose sum is σ = 16200342869760. Its totient is φ = 2024251269120.

The previous prime is 5928459145267. The next prime is 5928459145303. The reversal of 5928459145280 is 825419548295.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 1405179011 + ... + 1405183229.

It is an arithmetic number, because the mean of its divisors is an integer number (72322959240).

Almost surely, 2^{5928459145280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5928459145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8100171434880).

5928459145280 is an abundant number, since it is smaller than the sum of its proper divisors (10271883724480).

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

5928459145280 is a wasteful number, since it uses less digits than its factorization.

5928459145280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6677 (or 6667 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 62.

The spelling of 5928459145280 in words is "five trillion, nine hundred twenty-eight billion, four hundred fifty-nine million, one hundred forty-five thousand, two hundred eighty".