5828724480 has 144 divisors (see below), whose sum is σ = 18759210624. Its totient is φ = 1542328320.

The previous prime is 5828724479. The next prime is 5828724497. The reversal of 5828724480 is 844278285.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 497247 + ... + 508833.

It is an arithmetic number, because the mean of its divisors is an integer number (130272296).

Almost surely, 2^5828724480 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 5828724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9379605312).

5828724480 is an abundant number, since it is smaller than the sum of its proper divisors (12930486144).

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

5828724480 is a wasteful number, since it uses less digits than its factorization.

5828724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11742 (or 11728 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 48.

The square root of 5828724480 is about 76346.0835930698. The cubic root of 5828724480 is about 1799.6629492367.

The spelling of 5828724480 in words is "five billion, eight hundred twenty-eight million, seven hundred twenty-four thousand, four hundred eighty".