11292800 has 48 divisors (see below), whose sum is σ = 27904650. Its totient is φ = 4515840.

The previous prime is 11292797. The next prime is 11292829. The reversal of 11292800 is 829211.

It can be written as a sum of positive squares in 3 ways, for example, as 5798464 + 5494336 = 2408^2 + 2344^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1436 + ... + 4964.

Almost surely, 2^11292800 is an apocalyptic number.

11292800 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 11292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13952325).

11292800 is an abundant number, since it is smaller than the sum of its proper divisors (16611850).

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

11292800 is an equidigital number, since it uses as much as digits as its factorization.

11292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 11292800 is about 3360.4761567373. The cubic root of 11292800 is about 224.3540319944.

The spelling of 11292800 in words is "eleven million, two hundred ninety-two thousand, eight hundred".