11464128 has 84 divisors (see below), whose sum is σ = 35410648. Its totient is φ = 3525120.

The previous prime is 11464127. The next prime is 11464147. The reversal of 11464128 is 82146411.

It is a happy number.

11464128 is a `hidden beast` number, since 1 + 14 + 641 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11464127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6723 + ... + 8253.

Almost surely, 2^11464128 is an apocalyptic number.

11464128 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 11464128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17705324).

11464128 is an abundant number, since it is smaller than the sum of its proper divisors (23946520).

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

11464128 is a wasteful number, since it uses less digits than its factorization.

11464128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1549 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 11464128 is about 3385.8718227364. The cubic root of 11464128 is about 225.4829330761.

The spelling of 11464128 in words is "eleven million, four hundred sixty-four thousand, one hundred twenty-eight".