5928827520 has 768 divisors, whose sum is σ = 25468110720. Its totient is φ = 1156055040.

The previous prime is 5928827491. The next prime is 5928827557. The reversal of 5928827520 is 257288295.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5928827520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17592792 + ... + 17593128.

Almost surely, 2^5928827520 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 5928827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12734055360).

5928827520 is an abundant number, since it is smaller than the sum of its proper divisors (19539283200).

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

5928827520 is a wasteful number, since it uses less digits than its factorization.

5928827520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 5928827520 is about 76998.8799918544. The cubic root of 5928827520 is about 1809.9070513811.

It can be divided in two parts, 59288275 and 20, that added together give a palindrome (59288295).

The spelling of 5928827520 in words is "five billion, nine hundred twenty-eight million, eight hundred twenty-seven thousand, five hundred twenty".