5093028864 has 264 divisors, whose sum is σ = 18337320768. Its totient is φ = 1322680320.

The previous prime is 5093028859. The next prime is 5093028901. The reversal of 5093028864 is 4688203905.

5093028864 is a `hidden beast` number, since 509 + 3 + 0 + 2 + 88 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 706044 + ... + 713220.

Almost surely, 2^5093028864 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 5093028864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9168660384).

5093028864 is an abundant number, since it is smaller than the sum of its proper divisors (13244291904).

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

5093028864 is a wasteful number, since it uses less digits than its factorization.

5093028864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7221 (or 7200 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5093028864 is about 71365.4598808135. The cubic root of 5093028864 is about 1720.5159872509.

The spelling of 5093028864 in words is "five billion, ninety-three million, twenty-eight thousand, eight hundred sixty-four".