11952288 has 72 divisors (see below), whose sum is σ = 34751808. Its totient is φ = 3894912.

The previous prime is 11952257. The next prime is 11952293. The reversal of 11952288 is 88225911.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13095 + ... + 13977.

It is an arithmetic number, because the mean of its divisors is an integer number (482664).

Almost surely, 2^11952288 is an apocalyptic number.

11952288 is a gapful number since it is divisible by the number (18) 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 11952288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17375904).

11952288 is an abundant number, since it is smaller than the sum of its proper divisors (22799520).

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

11952288 is a wasteful number, since it uses less digits than its factorization.

11952288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 935 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 11952288 is about 3457.2081221703. The cubic root of 11952288 is about 228.6390198914.

The spelling of 11952288 in words is "eleven million, nine hundred fifty-two thousand, two hundred eighty-eight".