5828767560 has 1536 divisors, whose sum is σ = 28366848000. Its totient is φ = 1045094400.

The previous prime is 5828767559. The next prime is 5828767561. The reversal of 5828767560 is 657678285.

5828767560 is a `hidden beast` number, since 5 + 8 + 2 + 8 + 76 + 7 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (5828767559) and next prime (5828767561).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5828767497 and 5828767506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5828767561) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 188024745 + ... + 188024775.

It is an arithmetic number, because the mean of its divisors is an integer number (18468000).

Almost surely, 2^5828767560 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 5828767560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14183424000).

5828767560 is an abundant number, since it is smaller than the sum of its proper divisors (22538080440).

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

5828767560 is a wasteful number, since it uses less digits than its factorization.

5828767560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The square root of 5828767560 is about 76346.3657288282. The cubic root of 5828767560 is about 1799.6673829849.

The spelling of 5828767560 in words is "five billion, eight hundred twenty-eight million, seven hundred sixty-seven thousand, five hundred sixty".