11528160 has 192 divisors, whose sum is σ = 42964992. Its totient is φ = 2543616.

The previous prime is 11528149. The next prime is 11528173. The reversal of 11528160 is 6182511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11528160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157884 + ... + 157956.

It is an arithmetic number, because the mean of its divisors is an integer number (223776).

Almost surely, 2^11528160 is an apocalyptic number.

11528160 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 11528160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21482496).

11528160 is an abundant number, since it is smaller than the sum of its proper divisors (31436832).

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

11528160 is a wasteful number, since it uses less digits than its factorization.

11528160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 11528160 is about 3395.3144184302. The cubic root of 11528160 is about 225.9019597207.

The spelling of 11528160 in words is "eleven million, five hundred twenty-eight thousand, one hundred sixty".