5328792 has 96 divisors (see below), whose sum is σ = 16816800. Its totient is φ = 1492992.

The previous prime is 5328773. The next prime is 5328833. The reversal of 5328792 is 2978235.

It is a happy number.

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 5⁸ + 3⁹ + 2² + 8⁴ + 7³ + 9⁷ + 2¹⁷ .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 48834 + ... + 48942.

It is an arithmetic number, because the mean of its divisors is an integer number (175175).

Almost surely, 2^5328792 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 5328792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8408400).

5328792 is an abundant number, since it is smaller than the sum of its proper divisors (11488008).

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

5328792 is a wasteful number, since it uses less digits than its factorization.

5328792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 218 counting only the distinct ones).

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

The square root of 5328792 is about 2308.4176398564. The cubic root of 5328792 is about 174.6664886142. Note that the first 3 decimals are identical.

The spelling of 5328792 in words is "five million, three hundred twenty-eight thousand, seven hundred ninety-two".