5760828 has 48 divisors (see below), whose sum is σ = 15311520. Its totient is φ = 1872000.

The previous prime is 5760827. The next prime is 5760829. The reversal of 5760828 is 8280675.

5760828 is a `hidden beast` number, since 576 + 0 + 82 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5760827) and next prime (5760829).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5760792 and 5760801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5760827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3778 + ... + 5078.

It is an arithmetic number, because the mean of its divisors is an integer number (318990).

Almost surely, 2^5760828 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 5760828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7655760).

5760828 is an abundant number, since it is smaller than the sum of its proper divisors (9550692).

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

5760828 is a wasteful number, since it uses less digits than its factorization.

5760828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5760828 is about 2400.1724938012. The cubic root of 5760828 is about 179.2647788098.

The spelling of 5760828 in words is "five million, seven hundred sixty thousand, eight hundred twenty-eight".