10928736 has 192 divisors, whose sum is σ = 39513600. Its totient is φ = 2861568.

The previous prime is 10928717. The next prime is 10928761. The reversal of 10928736 is 63782901.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10928736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78555 + ... + 78693.

It is an arithmetic number, because the mean of its divisors is an integer number (205800).

Almost surely, 2^10928736 is an apocalyptic number.

10928736 is a gapful number since it is divisible by the number (16) 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 10928736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19756800).

10928736 is an abundant number, since it is smaller than the sum of its proper divisors (28584864).

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

10928736 is a wasteful number, since it uses less digits than its factorization.

10928736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 10928736 is about 3305.8638810453. The cubic root of 10928736 is about 221.9166962832.

It can be divided in two parts, 10928 and 736, that added together give a square (11664 = 108²).

The spelling of 10928736 in words is "ten million, nine hundred twenty-eight thousand, seven hundred thirty-six".