10640728 has 32 divisors (see below), whose sum is σ = 22982400. Its totient is φ = 4524192.

The previous prime is 10640723. The next prime is 10640731. The reversal of 10640728 is 82704601.

It is a super-2 number, since 2×10640728² = 226450184739968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10640696 and 10640705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10640723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7101 + ... + 8467.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 2^10640728 is an apocalyptic number.

It is an amenable number.

10640728 is an abundant number, since it is smaller than the sum of its proper divisors (12341672).

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

10640728 is a wasteful number, since it uses less digits than its factorization.

10640728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 10640728 is about 3262.0128755111. The cubic root of 10640728 is about 219.9499059498.

The spelling of 10640728 in words is "ten million, six hundred forty thousand, seven hundred twenty-eight".