10283728 has 60 divisors (see below), whose sum is σ = 24985380. Its totient is φ = 4064256.

The previous prime is 10283717. The next prime is 10283747. The reversal of 10283728 is 82738201.

10283728 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2286144 + 7997584 = 1512^2 + 2828^2 .

10283728 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 10283728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9688 + ... + 10696.

It is an arithmetic number, because the mean of its divisors is an integer number (416423).

Almost surely, 2^10283728 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 10283728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12492690).

10283728 is an abundant number, since it is smaller than the sum of its proper divisors (14701652).

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

10283728 is a wasteful number, since it uses less digits than its factorization.

10283728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 10283728 is about 3206.8252213053. The cubic root of 10283728 is about 217.4620746839.

It can be divided in two parts, 10283 and 728, that added together give a palindrome (11011).

The spelling of 10283728 in words is "ten million, two hundred eighty-three thousand, seven hundred twenty-eight".