10489248 has 216 divisors, whose sum is σ = 38342304. Its totient is φ = 2661120.

The previous prime is 10489243. The next prime is 10489261. The reversal of 10489248 is 84298401.

It is a super-2 number, since 2×10489248² = 220048647211008, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10489243) 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 35 ways as a sum of consecutive naturals, for example, 243915 + ... + 243957.

Almost surely, 2^10489248 is an apocalyptic number.

10489248 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 10489248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19171152).

10489248 is an abundant number, since it is smaller than the sum of its proper divisors (27853056).

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

10489248 is a wasteful number, since it uses less digits than its factorization.

10489248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 10489248 is about 3238.7108546457. The cubic root of 10489248 is about 218.9011876740.

It can be divided in two parts, 1048 and 9248, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 10489248 in words is "ten million, four hundred eighty-nine thousand, two hundred forty-eight".