5828526720 has 320 divisors, whose sum is σ = 21538024200. Its totient is φ = 1500291072.

The previous prime is 5828526677. The next prime is 5828526731. The reversal of 5828526720 is 276258285.

5828526720 is a `hidden beast` number, since 58 + 2 + 8 + 526 + 72 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4078610496 + 1749916224 = 63864^2 + 41832^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1501422 + ... + 1505298.

Almost surely, 2^5828526720 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 5828526720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10769012100).

5828526720 is an abundant number, since it is smaller than the sum of its proper divisors (15709497480).

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

5828526720 is a wasteful number, since it uses less digits than its factorization.

5828526720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3937 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 5828526720 is about 76344.7884272397. The cubic root of 5828526720 is about 1799.6425957059.

The spelling of 5828526720 in words is "five billion, eight hundred twenty-eight million, five hundred twenty-six thousand, seven hundred twenty".