5282382400 has 189 divisors, whose sum is σ = 13761834681. Its totient is φ = 1995502080.

The previous prime is 5282382397. The next prime is 5282382421. The reversal of 5282382400 is 42832825.

It is a happy number.

The square root of 5282382400 is 72680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1901657664 + 3380724736 = 43608^2 + 58144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66865561 + ... + 66865639.

Almost surely, 2^5282382400 is an apocalyptic number.

5282382400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5282382400 is the 72680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5282382400

5282382400 is an abundant number, since it is smaller than the sum of its proper divisors (8479452281).

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

5282382400 is an equidigital number, since it uses as much as digits as its factorization.

5282382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The cubic root of 5282382400 is about 1741.5794000470.

The spelling of 5282382400 in words is "five billion, two hundred eighty-two million, three hundred eighty-two thousand, four hundred".