10728252 has 36 divisors (see below), whose sum is σ = 27256320. Its totient is φ = 3557952.

The previous prime is 10728251. The next prime is 10728257. The reversal of 10728252 is 25282701.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10728251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7749 + ... + 9027.

It is an arithmetic number, because the mean of its divisors is an integer number (757120).

Almost surely, 2^10728252 is an apocalyptic number.

10728252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10728252 is an abundant number, since it is smaller than the sum of its proper divisors (16528068).

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

10728252 is a wasteful number, since it uses less digits than its factorization.

10728252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10728252 is about 3275.4010441471. The cubic root of 10728252 is about 220.5513169777.

The spelling of 10728252 in words is "ten million, seven hundred twenty-eight thousand, two hundred fifty-two".