23645780928 has 448 divisors, whose sum is σ = 87922851840. Its totient is φ = 6052838400.

The previous prime is 23645780927. The next prime is 23645780929. The reversal of 23645780928 is 82908754632.

23645780928 is a `hidden beast` number, since 2 + 3 + 64 + 578 + 0 + 9 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (23645780927) and next prime (23645780929).

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23645780923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9445725 + ... + 9448227.

Almost surely, 2^23645780928 is an apocalyptic number.

23645780928 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 23645780928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43961425920).

23645780928 is an abundant number, since it is smaller than the sum of its proper divisors (64277070912).

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

23645780928 is a wasteful number, since it uses less digits than its factorization.

23645780928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 23645780928 in words is "twenty-three billion, six hundred forty-five million, seven hundred eighty thousand, nine hundred twenty-eight".