11291952 has 60 divisors (see below), whose sum is σ = 33940536. Its totient is φ = 3225600.

The previous prime is 11291941. The next prime is 11291957. The reversal of 11291952 is 25919211.

It is not an unprimeable number, because it can be changed into a prime (11291957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49 + ... + 4752.

Almost surely, 2^11291952 is an apocalyptic number.

11291952 is a gapful number since it is divisible by the number (12) 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 11291952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16970268).

11291952 is an abundant number, since it is smaller than the sum of its proper divisors (22648584).

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

11291952 is a wasteful number, since it uses less digits than its factorization.

11291952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4826 (or 4813 counting only the distinct ones).

The product of its digits is 1620, while the sum is 30.

The square root of 11291952 is about 3360.3499817727. The cubic root of 11291952 is about 224.3484161158.

It can be divided in two parts, 1129 and 1952, that added together give a triangular number (3081 = T₇₈).

The spelling of 11291952 in words is "eleven million, two hundred ninety-one thousand, nine hundred fifty-two".