5282784000 has 864 divisors, whose sum is σ = 21936567744. Its totient is φ = 1209139200.

The previous prime is 5282783977. The next prime is 5282784011. The reversal of 5282784000 is 4872825.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 63647959 + ... + 63648041.

It is an arithmetic number, because the mean of its divisors is an integer number (25389546).

Almost surely, 2^5282784000 is an apocalyptic number.

5282784000 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 5282784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10968283872).

5282784000 is an abundant number, since it is smaller than the sum of its proper divisors (16653783744).

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

5282784000 is a wasteful number, since it uses less digits than its factorization.

5282784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 5282784000 is about 72682.7627433080. The cubic root of 5282784000 is about 1741.6235342091.

The spelling of 5282784000 in words is "five billion, two hundred eighty-two million, seven hundred eighty-four thousand".