11288500 has 48 divisors (see below), whose sum is σ = 25002432. Its totient is φ = 4452000.

The previous prime is 11288471. The next prime is 11288509. The reversal of 11288500 is 588211.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11288509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53395 + ... + 53605.

It is an arithmetic number, because the mean of its divisors is an integer number (520884).

Almost surely, 2^11288500 is an apocalyptic number.

11288500 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 11288500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12501216).

11288500 is an abundant number, since it is smaller than the sum of its proper divisors (13713932).

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

11288500 is a wasteful number, since it uses less digits than its factorization.

11288500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 11288500 is about 3359.8363055363. The cubic root of 11288500 is about 224.3255523492.

The spelling of 11288500 in words is "eleven million, two hundred eighty-eight thousand, five hundred".