5827283280 has 960 divisors, whose sum is σ = 26344980480. Its totient is φ = 1119744000.

The previous prime is 5827283269. The next prime is 5827283309. The reversal of 5827283280 is 823827285.

5827283280 is a `hidden beast` number, since 58 + 272 + 8 + 328 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38591205 + ... + 38591355.

It is an arithmetic number, because the mean of its divisors is an integer number (27442688).

Almost surely, 2^5827283280 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 5827283280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13172490240).

5827283280 is an abundant number, since it is smaller than the sum of its proper divisors (20517697200).

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

5827283280 is a wasteful number, since it uses less digits than its factorization.

5827283280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 5827283280 is about 76336.6444114489. The cubic root of 5827283280 is about 1799.5146098616.

The spelling of 5827283280 in words is "five billion, eight hundred twenty-seven million, two hundred eighty-three thousand, two hundred eighty".