23181193728 has 480 divisors, whose sum is σ = 84568872960. Its totient is φ = 5937684480.

The previous prime is 23181193667. The next prime is 23181193741. The reversal of 23181193728 is 82739118132.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28030051 + ... + 28030877.

It is an arithmetic number, because the mean of its divisors is an integer number (176185152).

Almost surely, 2^23181193728 is an apocalyptic number.

23181193728 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 23181193728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42284436480).

23181193728 is an abundant number, since it is smaller than the sum of its proper divisors (61387679232).

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

23181193728 is a wasteful number, since it uses less digits than its factorization.

23181193728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 929 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 23181193728 in words is "twenty-three billion, one hundred eighty-one million, one hundred ninety-three thousand, seven hundred twenty-eight".