23133817728 has 448 divisors, whose sum is σ = 79948840320. Its totient is φ = 6528107520.

The previous prime is 23133817727. The next prime is 23133817747. The reversal of 23133817728 is 82771833132.

It is a happy number.

23133817728 is a `hidden beast` number, since 231 + 338 + 17 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 (23133817727) 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 55 ways as a sum of consecutive naturals, for example, 69890523 + ... + 69890853.

Almost surely, 2^23133817728 is an apocalyptic number.

23133817728 is a gapful number since it is divisible by the number (28) 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 23133817728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39974420160).

23133817728 is an abundant number, since it is smaller than the sum of its proper divisors (56815022592).

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

23133817728 is an equidigital number, since it uses as much as digits as its factorization.

23133817728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 450 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 23133817728 in words is "twenty-three billion, one hundred thirty-three million, eight hundred seventeen thousand, seven hundred twenty-eight".