10321128 has 64 divisors (see below), whose sum is σ = 29116800. Its totient is φ = 3386880.

The previous prime is 10321121. The next prime is 10321151. The reversal of 10321128 is 82112301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10321128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321121) 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, 15000 + ... + 15672.

It is an arithmetic number, because the mean of its divisors is an integer number (454950).

Almost surely, 2^10321128 is an apocalyptic number.

10321128 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 10321128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14558400).

10321128 is an abundant number, since it is smaller than the sum of its proper divisors (18795672).

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

10321128 is a wasteful number, since it uses less digits than its factorization.

10321128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10321128 is about 3212.6512415760. The cubic root of 10321128 is about 217.7253787427.

Adding to 10321128 its reverse (82112301), we get a palindrome (92433429).

The spelling of 10321128 in words is "ten million, three hundred twenty-one thousand, one hundred twenty-eight".