5352928 has 48 divisors (see below), whose sum is σ = 12579840. Its totient is φ = 2192256.

The previous prime is 5352913. The next prime is 5352937. The reversal of 5352928 is 8292535.

It is a d-powerful number, because it can be written as 5 + 3¹⁴ + 5⁴ + 2¹⁰ + 9⁶ + 2¹⁵ + 8⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 5352893 and 5352902.

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 7 ways as a sum of consecutive naturals, for example, 4633 + ... + 5671.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 2^5352928 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 5352928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289920).

5352928 is an abundant number, since it is smaller than the sum of its proper divisors (7226912).

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

5352928 is a wasteful number, since it uses less digits than its factorization.

5352928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1071 counting only the distinct ones).

The product of its digits is 21600, while the sum is 34.

The square root of 5352928 is about 2313.6395570616. The cubic root of 5352928 is about 174.9298004153.

The spelling of 5352928 in words is "five million, three hundred fifty-two thousand, nine hundred twenty-eight".