10488384 has 84 divisors (see below), whose sum is σ = 30510480. Its totient is φ = 3444480.

The previous prime is 10488341. The next prime is 10488403. The reversal of 10488384 is 48388401.

It is a super-2 number, since 2×10488384² = 220012397862912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75387 + ... + 75525.

It is an arithmetic number, because the mean of its divisors is an integer number (363220).

Almost surely, 2^10488384 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 10488384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15255240).

10488384 is an abundant number, since it is smaller than the sum of its proper divisors (20022096).

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

10488384 is a wasteful number, since it uses less digits than its factorization.

10488384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 10488384 is about 3238.5774654931. The cubic root of 10488384 is about 218.8951772076.

It can be divided in two parts, 104 and 88384, that added together give a palindrome (88488).

The spelling of 10488384 in words is "ten million, four hundred eighty-eight thousand, three hundred eighty-four".