11296412928 has 216 divisors, whose sum is σ = 34096765248. Its totient is φ = 3729825792.

The previous prime is 11296412923. The next prime is 11296412957. The reversal of 11296412928 is 82921469211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

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 (11296412923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7028701 + ... + 7030307.

Almost surely, 2^11296412928 is an apocalyptic number.

11296412928 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 11296412928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17048382624).

11296412928 is an abundant number, since it is smaller than the sum of its proper divisors (22800352320).

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

11296412928 is an equidigital number, since it uses as much as digits as its factorization.

11296412928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1725 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 11296412928 in words is "eleven billion, two hundred ninety-six million, four hundred twelve thousand, nine hundred twenty-eight".