10531728 has 40 divisors (see below), whose sum is σ = 30231200. Its totient is φ = 3510432.

The previous prime is 10531693. The next prime is 10531733. The reversal of 10531728 is 82713501.

It is a super-3 number, since 3×10531728³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11758 + ... + 12621.

It is an arithmetic number, because the mean of its divisors is an integer number (755780).

Almost surely, 2^10531728 is an apocalyptic number.

10531728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10531728 is an abundant number, since it is smaller than the sum of its proper divisors (19699472).

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

10531728 is a wasteful number, since it uses less digits than its factorization.

10531728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24396 (or 24384 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10531728 is about 3245.2623930893. The cubic root of 10531728 is about 219.1962961350.

Adding to 10531728 its sum of digits (27), we get a triangular number (10531755 = T₄₅₈₉).

The spelling of 10531728 in words is "ten million, five hundred thirty-one thousand, seven hundred twenty-eight".