10324128 has 96 divisors (see below), whose sum is σ = 28873152. Its totient is φ = 3225600.

The previous prime is 10324099. The next prime is 10324129. The reversal of 10324128 is 82142301.

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

It is not an unprimeable number, because it can be changed into a prime (10324129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169218 + ... + 169278.

It is an arithmetic number, because the mean of its divisors is an integer number (300762).

Almost surely, 2^10324128 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 10324128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14436576).

10324128 is an abundant number, since it is smaller than the sum of its proper divisors (18549024).

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

10324128 is a wasteful number, since it uses less digits than its factorization.

10324128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 10324128 is about 3213.1181117413. The cubic root of 10324128 is about 217.7464718138.

Adding to 10324128 its reverse (82142301), we get a palindrome (92466429).

It can be divided in two parts, 1032 and 4128, that multiplied together give a square (4260096 = 2064²).

The spelling of 10324128 in words is "ten million, three hundred twenty-four thousand, one hundred twenty-eight".