10247328 has 288 divisors, whose sum is σ = 39626496. Its totient is φ = 2433024.

The previous prime is 10247317. The next prime is 10247333. The reversal of 10247328 is 82374201.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10247328² = 210015462279168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445525 + ... + 445547.

It is an arithmetic number, because the mean of its divisors is an integer number (137592).

Almost surely, 2^10247328 is an apocalyptic number.

10247328 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 10247328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248).

10247328 is an abundant number, since it is smaller than the sum of its proper divisors (29379168).

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

10247328 is a wasteful number, since it uses less digits than its factorization.

10247328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 10247328 is about 3201.1447952256. The cubic root of 10247328 is about 217.2051971122.

The spelling of 10247328 in words is "ten million, two hundred forty-seven thousand, three hundred twenty-eight".