10756928 has 56 divisors (see below), whose sum is σ = 26285952. Its totient is φ = 4253184.

The previous prime is 10756927. The next prime is 10756931. The reversal of 10756928 is 82965701.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×10756928² = 231422999994368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10756891 and 10756900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10756927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4901 + ... + 6747.

It is an arithmetic number, because the mean of its divisors is an integer number (469392).

Almost surely, 2^10756928 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 10756928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13142976).

10756928 is an abundant number, since it is smaller than the sum of its proper divisors (15529024).

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

10756928 is a wasteful number, since it uses less digits than its factorization.

10756928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 10756928 is about 3279.7756020801. The cubic root of 10756928 is about 220.7476491445.

The spelling of 10756928 in words is "ten million, seven hundred fifty-six thousand, nine hundred twenty-eight".