11928800 has 144 divisors (see below), whose sum is σ = 33247872. Its totient is φ = 4147200.

The previous prime is 11928799. The next prime is 11928803. The reversal of 11928800 is 882911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11928803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322382 + ... + 322418.

It is an arithmetic number, because the mean of its divisors is an integer number (230888).

Almost surely, 2^11928800 is an apocalyptic number.

11928800 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 11928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623936).

11928800 is an abundant number, since it is smaller than the sum of its proper divisors (21319072).

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

11928800 is a wasteful number, since it uses less digits than its factorization.

11928800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The square root of 11928800 is about 3453.8094909824. The cubic root of 11928800 is about 228.4891519349.

The spelling of 11928800 in words is "eleven million, nine hundred twenty-eight thousand, eight hundred".