10355328 has 96 divisors (see below), whose sum is σ = 30431700. Its totient is φ = 3379200.

The previous prime is 10355321. The next prime is 10355347. The reversal of 10355328 is 82355301.

10355328 is a `hidden beast` number, since 103 + 553 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 166464 = 3192^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×10355328³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10355321) by changing a digit.

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, 102478 + ... + 102578.

Almost surely, 2^10355328 is an apocalyptic number.

10355328 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 10355328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15215850).

10355328 is an abundant number, since it is smaller than the sum of its proper divisors (20076372).

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

10355328 is a wasteful number, since it uses less digits than its factorization.

10355328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 195 counting only the distinct ones).

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

The square root of 10355328 is about 3217.9695461579. The cubic root of 10355328 is about 217.9655979156.

Subtracting from 10355328 its sum of digits (27), we obtain a palindrome (10355301).

The spelling of 10355328 in words is "ten million, three hundred fifty-five thousand, three hundred twenty-eight".