11429488 has 80 divisors (see below), whose sum is σ = 27498240. Its totient is φ = 4492800.

The previous prime is 11429479. The next prime is 11429489. The reversal of 11429488 is 88492411.

11429488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11429489) 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, 87183 + ... + 87313.

It is an arithmetic number, because the mean of its divisors is an integer number (343728).

Almost surely, 2^11429488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11429488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13749120).

11429488 is an abundant number, since it is smaller than the sum of its proper divisors (16068752).

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

11429488 is a wasteful number, since it uses less digits than its factorization.

11429488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its digits is 18432, while the sum is 37.

The square root of 11429488 is about 3380.7525789386. The cubic root of 11429488 is about 225.2555975997.

The spelling of 11429488 in words is "eleven million, four hundred twenty-nine thousand, four hundred eighty-eight".