5284008000 has 448 divisors, whose sum is σ = 20541081600. Its totient is φ = 1325260800.

The previous prime is 5284007951. The next prime is 5284008043. The reversal of 5284008000 is 8004825.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3671281 + ... + 3672719.

Almost surely, 2^5284008000 is an apocalyptic number.

5284008000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5284008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10270540800).

5284008000 is an abundant number, since it is smaller than the sum of its proper divisors (15257073600).

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

5284008000 is a wasteful number, since it uses less digits than its factorization.

5284008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5284008000 is about 72691.1824088727. The cubic root of 5284008000 is about 1741.7580328994.

The spelling of 5284008000 in words is "five billion, two hundred eighty-four million, eight thousand".