5758368 has 192 divisors, whose sum is σ = 20321280. Its totient is φ = 1382400.

The previous prime is 5758321. The next prime is 5758381. The reversal of 5758368 is 8638575.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140428 + ... + 140468.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

Almost surely, 2^5758368 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 5758368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160640).

5758368 is an abundant number, since it is smaller than the sum of its proper divisors (14562912).

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

5758368 is a wasteful number, since it uses less digits than its factorization.

5758368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 5758368 is about 2399.6599759133. The cubic root of 5758368 is about 179.2392585118.

It can be divided in two parts, 57 and 58368, that multiplied together give a square (3326976 = 1824²).

The spelling of 5758368 in words is "five million, seven hundred fifty-eight thousand, three hundred sixty-eight".