10993248 has 216 divisors, whose sum is σ = 39213720. Its totient is φ = 2903040.

The previous prime is 10993217. The next prime is 10993259. The reversal of 10993248 is 84239901.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 268108 + ... + 268148.

It is an arithmetic number, because the mean of its divisors is an integer number (181545).

Almost surely, 2^10993248 is an apocalyptic number.

10993248 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 10993248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19606860).

10993248 is an abundant number, since it is smaller than the sum of its proper divisors (28220472).

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

10993248 is a wasteful number, since it uses less digits than its factorization.

10993248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 10993248 is about 3315.6067318064. The cubic root of 10993248 is about 222.3524957628.

The spelling of 10993248 in words is "ten million, nine hundred ninety-three thousand, two hundred forty-eight".