10821328 has 40 divisors (see below), whose sum is σ = 24427008. Its totient is φ = 4547712.

The previous prime is 10821319. The next prime is 10821329. The reversal of 10821328 is 82312801.

It is a super-2 number, since 2×10821328² = 234202279367168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10821329) 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 7 ways as a sum of consecutive naturals, for example, 5025 + ... + 6847.

Almost surely, 2^10821328 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 10821328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12213504).

10821328 is an abundant number, since it is smaller than the sum of its proper divisors (13605680).

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

10821328 is a wasteful number, since it uses less digits than its factorization.

10821328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 10821328 is about 3289.5786964291. The cubic root of 10821328 is about 221.1872998408.

It can be divided in two parts, 108213 and 28, that added together give a square (108241 = 329²).

The spelling of 10821328 in words is "ten million, eight hundred twenty-one thousand, three hundred twenty-eight".