11388000 has 192 divisors, whose sum is σ = 40727232. Its totient is φ = 2764800.

The previous prime is 11387953. The next prime is 11388017. The reversal of 11388000 is 88311.

It is a happy number.

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, 155964 + ... + 156036.

It is an arithmetic number, because the mean of its divisors is an integer number (212121).

Almost surely, 2^11388000 is an apocalyptic number.

11388000 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 11388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20363616).

11388000 is an abundant number, since it is smaller than the sum of its proper divisors (29339232).

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

11388000 is a wasteful number, since it uses less digits than its factorization.

11388000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 11388000 is about 3374.6110887034. The cubic root of 11388000 is about 224.9827147215.

The spelling of 11388000 in words is "eleven million, three hundred eighty-eight thousand".