5283792 has 80 divisors (see below), whose sum is σ = 15455360. Its totient is φ = 1749600.

The previous prime is 5283791. The next prime is 5283809. The reversal of 5283792 is 2973825.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a d-powerful number, because it can be written as 5⁷ + 2⁴ + 8⁴ + 3¹¹ + 7⁷ + 9⁴ + 2²² .

Its product of digits (30240) is a multiple of the sum of its prime factors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5283791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34917 + ... + 35067.

It is an arithmetic number, because the mean of its divisors is an integer number (193192).

Almost surely, 2^5283792 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 5283792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7727680).

5283792 is an abundant number, since it is smaller than the sum of its proper divisors (10171568).

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

5283792 is an equidigital number, since it uses as much as digits as its factorization.

5283792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 156 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 5283792 is about 2298.6500386096. The cubic root of 5283792 is about 174.1734299346.

The spelling of 5283792 in words is "five million, two hundred eighty-three thousand, seven hundred ninety-two".