5928431040 has 448 divisors, whose sum is σ = 24210385920. Its totient is φ = 1337610240.

The previous prime is 5928431023. The next prime is 5928431071. The reversal of 5928431040 is 401348295.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5928430986 and 5928431004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5019250 + ... + 5020430.

It is an arithmetic number, because the mean of its divisors is an integer number (54041040).

Almost surely, 2^5928431040 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 5928431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12105192960).

5928431040 is an abundant number, since it is smaller than the sum of its proper divisors (18281954880).

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

5928431040 is a wasteful number, since it uses less digits than its factorization.

5928431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5928431040 is about 76996.3053659070. The cubic root of 5928431040 is about 1809.8667056892.

The spelling of 5928431040 in words is "five billion, nine hundred twenty-eight million, four hundred thirty-one thousand, forty".