5125328 has 40 divisors (see below), whose sum is σ = 10973256. Its totient is φ = 2304000.

The previous prime is 5125327. The next prime is 5125363. The reversal of 5125328 is 8235215.

It can be written as a sum of positive squares in 4 ways, for example, as 53824 + 5071504 = 232^2 + 2252^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 5² + 1 + 2⁴ + 5⁷ + 3¹⁴ + 2¹¹ + 8⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 5125297 and 5125306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5125321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8228 + ... + 8828.

Almost surely, 2^5125328 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 5125328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486628).

5125328 is an abundant number, since it is smaller than the sum of its proper divisors (5847928).

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

5125328 is a wasteful number, since it uses less digits than its factorization.

5125328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 657 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 5125328 is about 2263.9187264564. The cubic root of 5125328 is about 172.4145400391.

It can be divided in two parts, 5 and 125328, that multiplied together give a triangular number (626640 = T₁₁₁₉).

The spelling of 5125328 in words is "five million, one hundred twenty-five thousand, three hundred twenty-eight".