10333728 has 72 divisors (see below), whose sum is σ = 29985228. Its totient is φ = 3374592.

The previous prime is 10333727. The next prime is 10333747. The reversal of 10333728 is 82733301.

It can be written as a sum of positive squares in 2 ways, for example, as 8225424 + 2108304 = 2868^2 + 1452^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (10333727) 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 11 ways as a sum of consecutive naturals, for example, 14926 + ... + 15602.

Almost surely, 2^10333728 is an apocalyptic number.

10333728 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 10333728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14992614).

10333728 is an abundant number, since it is smaller than the sum of its proper divisors (19651500).

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

10333728 is a wasteful number, since it uses less digits than its factorization.

10333728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 10333728 is about 3214.6116406185. The cubic root of 10333728 is about 217.8139421948.

It can be divided in two parts, 1033 and 3728, that added together give a square (4761 = 69²).

The spelling of 10333728 in words is "ten million, three hundred thirty-three thousand, seven hundred twenty-eight".