5035328 has 28 divisors (see below), whose sum is σ = 10340340. Its totient is φ = 2429952.

The previous prime is 5035319. The next prime is 5035339. The reversal of 5035328 is 8235305.

It can be written as a sum of positive squares in 2 ways, for example, as 4129024 + 906304 = 2032^2 + 952^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5035297 and 5035306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 500 + ... + 3212.

Almost surely, 2^5035328 is an apocalyptic number.

5035328 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5035328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170170).

5035328 is an abundant number, since it is smaller than the sum of its proper divisors (5305012).

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

5035328 is a wasteful number, since it uses less digits than its factorization.

5035328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 5035328 is about 2243.9536537103. The cubic root of 5035328 is about 171.3993833904.

The spelling of 5035328 in words is "five million, thirty-five thousand, three hundred twenty-eight".