5351328 has 72 divisors (see below), whose sum is σ = 16127748. Its totient is φ = 1677312.

The previous prime is 5351321. The next prime is 5351329. The reversal of 5351328 is 8231535.

It can be written as a sum of positive squares in 2 ways, for example, as 4210704 + 1140624 = 2052^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×5351328³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (5351321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4350 + ... + 5442.

Almost surely, 2^5351328 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 5351328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8063874).

5351328 is an abundant number, since it is smaller than the sum of its proper divisors (10776420).

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

5351328 is a wasteful number, since it uses less digits than its factorization.

5351328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1115 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 5351328 is about 2313.2937556653. The cubic root of 5351328 is about 174.9123697324.

The spelling of 5351328 in words is "five million, three hundred fifty-one thousand, three hundred twenty-eight".