10864728 has 48 divisors (see below), whose sum is σ = 33630480. Its totient is φ = 3104064.

The previous prime is 10864703. The next prime is 10864729. The reversal of 10864728 is 82746801.

10864728 is a `hidden beast` number, since 1 + 0 + 8 + 647 + 2 + 8 = 666.

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 = 10864692 and 10864701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10864729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10275 + ... + 11282.

It is an arithmetic number, because the mean of its divisors is an integer number (700635).

Almost surely, 2^10864728 is an apocalyptic number.

10864728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10864728 is an abundant number, since it is smaller than the sum of its proper divisors (22765752).

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

10864728 is a wasteful number, since it uses less digits than its factorization.

10864728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21576 (or 21569 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 10864728 is about 3296.1686850038. The cubic root of 10864728 is about 221.4826032160.

The spelling of 10864728 in words is "ten million, eight hundred sixty-four thousand, seven hundred twenty-eight".