10547328 has 96 divisors (see below), whose sum is σ = 30930480. Its totient is φ = 3182080.

The previous prime is 10547323. The next prime is 10547333. The reversal of 10547328 is 82374501.

It is an interprime number because it is at equal distance from previous prime (10547323) and next prime (10547333).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10547328² = 222492255879168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10547295 and 10547304.

It is not an unprimeable number, because it can be changed into a prime (10547323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46351 + ... + 46577.

Almost surely, 2^10547328 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 10547328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15465240).

10547328 is an abundant number, since it is smaller than the sum of its proper divisors (20383152).

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

10547328 is a wasteful number, since it uses less digits than its factorization.

10547328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 10547328 is about 3247.6650073553. The cubic root of 10547328 is about 219.3044700663.

It can be divided in two parts, 105473 and 28, that added together give a palindrome (105501).

The spelling of 10547328 in words is "ten million, five hundred forty-seven thousand, three hundred twenty-eight".