10889928 has 192 divisors, whose sum is σ = 37739520. Its totient is φ = 2764800.

The previous prime is 10889917. The next prime is 10889929. The reversal of 10889928 is 82998801.

It is not an unprimeable number, because it can be changed into a prime (10889929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265588 + ... + 265628.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 2^10889928 is an apocalyptic number.

10889928 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 10889928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

10889928 is an abundant number, since it is smaller than the sum of its proper divisors (26849592).

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

10889928 is a wasteful number, since it uses less digits than its factorization.

10889928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 10889928 is about 3299.9890908911. The cubic root of 10889928 is about 221.6537089554.

The spelling of 10889928 in words is "ten million, eight hundred eighty-nine thousand, nine hundred twenty-eight".