10819928 has 32 divisors (see below), whose sum is σ = 23427360. Its totient is φ = 4588800.

The previous prime is 10819891. The next prime is 10819937. The reversal of 10819928 is 82991801.

It is a junction number, because it is equal to n+sod(n) for n = 10819891 and 10819900.

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, 4700 + ... + 6612.

It is an arithmetic number, because the mean of its divisors is an integer number (732105).

Almost surely, 2^10819928 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 10819928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11713680).

10819928 is an abundant number, since it is smaller than the sum of its proper divisors (12607432).

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

10819928 is a wasteful number, since it uses less digits than its factorization.

10819928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 38.

The square root of 10819928 is about 3289.3658963393. The cubic root of 10819928 is about 221.1777607905.

The spelling of 10819928 in words is "ten million, eight hundred nineteen thousand, nine hundred twenty-eight".