11285472 has 48 divisors (see below), whose sum is σ = 32320512. Its totient is φ = 3419520.

The previous prime is 11285471. The next prime is 11285473. The reversal of 11285472 is 27458211.

It is an interprime number because it is at equal distance from previous prime (11285471) and next prime (11285473).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11285471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4288 + ... + 6399.

It is an arithmetic number, because the mean of its divisors is an integer number (673344).

Almost surely, 2^11285472 is an apocalyptic number.

11285472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11285472 is an abundant number, since it is smaller than the sum of its proper divisors (21035040).

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

11285472 is a wasteful number, since it uses less digits than its factorization.

11285472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10711 (or 10703 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 11285472 is about 3359.3856581226. The cubic root of 11285472 is about 224.3054930406.

The spelling of 11285472 in words is "eleven million, two hundred eighty-five thousand, four hundred seventy-two".