10396728 has 64 divisors (see below), whose sum is σ = 29184000. Its totient is φ = 3429216.

The previous prime is 10396721. The next prime is 10396753. The reversal of 10396728 is 82769301.

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 = 10396692 and 10396701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10396721) 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 15 ways as a sum of consecutive naturals, for example, 27243 + ... + 27621.

It is an arithmetic number, because the mean of its divisors is an integer number (456000).

Almost surely, 2^10396728 is an apocalyptic number.

10396728 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 10396728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14592000).

10396728 is an abundant number, since it is smaller than the sum of its proper divisors (18787272).

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

10396728 is a wasteful number, since it uses less digits than its factorization.

10396728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 511 counting only the distinct ones).

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

The square root of 10396728 is about 3224.3957573474. The cubic root of 10396728 is about 218.2556829450.

The spelling of 10396728 in words is "ten million, three hundred ninety-six thousand, seven hundred twenty-eight".