5005628928 has 140 divisors (see below), whose sum is σ = 14996480268. Its totient is φ = 1668418560.

The previous prime is 5005628923. The next prime is 5005628963. The reversal of 5005628928 is 8298265005.

5005628928 is a `hidden beast` number, since 5 + 0 + 0 + 562 + 89 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005628923) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 366543 + ... + 379953.

Almost surely, 2^5005628928 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 5005628928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7498240134).

5005628928 is an abundant number, since it is smaller than the sum of its proper divisors (9990851340).

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

5005628928 is an frugal number, since it uses more digits than its factorization.

5005628928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13447 (or 13416 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5005628928 is about 70750.4694542729. The cubic root of 5005628928 is about 1710.6173947916.

The spelling of 5005628928 in words is "five billion, five million, six hundred twenty-eight thousand, nine hundred twenty-eight".