10820128 has 48 divisors (see below), whose sum is σ = 23677920. Its totient is φ = 4825600.

The previous prime is 10820113. The next prime is 10820137. The reversal of 10820128 is 82102801.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10820099 and 10820108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20508 + ... + 21028.

It is an arithmetic number, because the mean of its divisors is an integer number (493290).

Almost surely, 2^10820128 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 10820128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11838960).

10820128 is an abundant number, since it is smaller than the sum of its proper divisors (12857792).

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

10820128 is a wasteful number, since it uses less digits than its factorization.

10820128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 10820128 is about 3289.3962971950. The cubic root of 10820128 is about 221.1791235624.

Adding to 10820128 its reverse (82102801), we get a palindrome (92922929).

The spelling of 10820128 in words is "ten million, eight hundred twenty thousand, one hundred twenty-eight".