10927728 has 120 divisors (see below), whose sum is σ = 36018528. Its totient is φ = 3027456.

The previous prime is 10927727. The next prime is 10927733. The reversal of 10927728 is 82772901.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 10927692 and 10927701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10927727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37150 + ... + 37442.

Almost surely, 2^10927728 is an apocalyptic number.

10927728 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 10927728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18009264).

10927728 is an abundant number, since it is smaller than the sum of its proper divisors (25090800).

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

10927728 is a wasteful number, since it uses less digits than its factorization.

10927728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 342 counting only the distinct ones).

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

The square root of 10927728 is about 3305.7114211619. The cubic root of 10927728 is about 221.9098733256.

The spelling of 10927728 in words is "ten million, nine hundred twenty-seven thousand, seven hundred twenty-eight".