5123328 has 72 divisors (see below), whose sum is σ = 15599808. Its totient is φ = 1462272.

The previous prime is 5123317. The next prime is 5123357. The reversal of 5123328 is 8233215.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 5⁷ + 1 + 2¹⁷ + 3⁴ + 3¹⁴ + 2¹⁷ + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 5123298 and 5123307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4900 + ... + 5852.

It is an arithmetic number, because the mean of its divisors is an integer number (216664).

Almost surely, 2^5123328 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 5123328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7799904).

5123328 is an abundant number, since it is smaller than the sum of its proper divisors (10476480).

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

5123328 is an equidigital number, since it uses as much as digits as its factorization.

5123328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 965 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 5123328 is about 2263.4769713872. The cubic root of 5123328 is about 172.3921106490.

The spelling of 5123328 in words is "five million, one hundred twenty-three thousand, three hundred twenty-eight".