10127328 has 96 divisors (see below), whose sum is σ = 28449792. Its totient is φ = 3148800.

The previous prime is 10127321. The next prime is 10127329. The reversal of 10127328 is 82372101.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 10127298 and 10127307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10127321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121975 + ... + 122057.

It is an arithmetic number, because the mean of its divisors is an integer number (296352).

Almost surely, 2^10127328 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 10127328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14224896).

10127328 is an abundant number, since it is smaller than the sum of its proper divisors (18322464).

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

10127328 is a wasteful number, since it uses less digits than its factorization.

10127328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 10127328 is about 3182.3463042227. The cubic root of 10127328 is about 216.3540148039.

Adding to 10127328 its reverse (82372101), we get a palindrome (92499429).

The spelling of 10127328 in words is "ten million, one hundred twenty-seven thousand, three hundred twenty-eight".