5828067840 has 480 divisors, whose sum is σ = 22973601024. Its totient is φ = 1252392960.

The previous prime is 5828067811. The next prime is 5828067871. The reversal of 5828067840 is 487608285.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5828067840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6396985 + ... + 6397895.

Almost surely, 2^5828067840 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 5828067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11486800512).

5828067840 is an abundant number, since it is smaller than the sum of its proper divisors (17145533184).

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

5828067840 is a wasteful number, since it uses less digits than its factorization.

5828067840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 5828067840 is about 76341.7830548907. The cubic root of 5828067840 is about 1799.5953658365.

The spelling of 5828067840 in words is "five billion, eight hundred twenty-eight million, sixty-seven thousand, eight hundred forty".