5305928160 has 384 divisors, whose sum is σ = 18860688000. Its totient is φ = 1244823552.

The previous prime is 5305928153. The next prime is 5305928237. The reversal of 5305928160 is 618295035.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 19724506 + ... + 19724774.

It is an arithmetic number, because the mean of its divisors is an integer number (49116375).

Almost surely, 2^5305928160 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 5305928160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9430344000).

5305928160 is an abundant number, since it is smaller than the sum of its proper divisors (13554759840).

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

5305928160 is a wasteful number, since it uses less digits than its factorization.

5305928160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 5305928160 is about 72841.8022841280. The cubic root of 5305928160 is about 1744.1632110252.

The spelling of 5305928160 in words is "five billion, three hundred five million, nine hundred twenty-eight thousand, one hundred sixty".