10928772 has 72 divisors (see below), whose sum is σ = 29405376. Its totient is φ = 3415104.

The previous prime is 10928761. The next prime is 10928779. The reversal of 10928772 is 27782901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10928779) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55378 + ... + 55574.

It is an arithmetic number, because the mean of its divisors is an integer number (408408).

Almost surely, 2^10928772 is an apocalyptic number.

10928772 is a gapful number since it is divisible by the number (12) 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 10928772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14702688).

10928772 is an abundant number, since it is smaller than the sum of its proper divisors (18476604).

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

10928772 is a wasteful number, since it uses less digits than its factorization.

10928772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 10928772 is about 3305.8693259111. The cubic root of 10928772 is about 221.9169399525.

The spelling of 10928772 in words is "ten million, nine hundred twenty-eight thousand, seven hundred seventy-two".