10211328 has 78 divisors (see below), whose sum is σ = 29602274. Its totient is φ = 3391488.

The previous prime is 10211323. The next prime is 10211353. The reversal of 10211328 is 82311201.

It can be written as a sum of positive squares in only one way, i.e., 7225344 + 2985984 = 2688^2 + 1728^2 .

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 10211328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36726 + ... + 37002.

Almost surely, 2^10211328 is an apocalyptic number.

10211328 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 10211328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14801137).

10211328 is an abundant number, since it is smaller than the sum of its proper divisors (19390946).

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

10211328 is an equidigital number, since it uses as much as digits as its factorization.

10211328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 282 counting only the distinct ones).

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

The square root of 10211328 is about 3195.5168596019. The cubic root of 10211328 is about 216.9505433527.

Adding to 10211328 its reverse (82311201), we get a palindrome (92522529).

The spelling of 10211328 in words is "ten million, two hundred eleven thousand, three hundred twenty-eight".