10448320 has 56 divisors (see below), whose sum is σ = 25200864. Its totient is φ = 4125696.

The previous prime is 10448311. The next prime is 10448329. The reversal of 10448320 is 2384401.

It is an interprime number because it is at equal distance from previous prime (10448311) and next prime (10448329).

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10448291 and 10448300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10448329) 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 7 ways as a sum of consecutive naturals, for example, 32802 + ... + 33118.

Almost surely, 2^10448320 is an apocalyptic number.

10448320 is a gapful number since it is divisible by the number (10) 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 10448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12600432).

10448320 is an abundant number, since it is smaller than the sum of its proper divisors (14752544).

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

10448320 is a wasteful number, since it uses less digits than its factorization.

10448320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 10448320 is about 3232.3861155499. The cubic root of 10448320 is about 218.6161063617.

The spelling of 10448320 in words is "ten million, four hundred forty-eight thousand, three hundred twenty".