10535328 has 72 divisors (see below), whose sum is σ = 30280068. Its totient is φ = 3474432.

The previous prime is 10535309. The next prime is 10535333. The reversal of 10535328 is 82353501.

It can be written as a sum of positive squares in 2 ways, for example, as 9809424 + 725904 = 3132^2 + 852^2 .

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

It is a super-2 number, since 2×10535328² = 221986272135168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45100 + ... + 45332.

Almost surely, 2^10535328 is an apocalyptic number.

10535328 is a gapful number since it is divisible by the number (18) 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 10535328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15140034).

10535328 is an abundant number, since it is smaller than the sum of its proper divisors (19744740).

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

10535328 is a wasteful number, since it uses less digits than its factorization.

10535328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 395 counting only the distinct ones).

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

The square root of 10535328 is about 3245.8170003868. The cubic root of 10535328 is about 219.2212688262.

Adding to 10535328 its reverse (82353501), we get a palindrome (92888829).

The spelling of 10535328 in words is "ten million, five hundred thirty-five thousand, three hundred twenty-eight".