23128326400 has 81 divisors (see below), whose sum is σ = 57276351223. Its totient is φ = 9246464000.

The previous prime is 23128326373. The next prime is 23128326409. The reversal of 23128326400 is 462382132.

The square root of 23128326400 is 152080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8123056384 + 15005270016 = 90128^2 + 122496^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23128326409) 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 8 ways as a sum of consecutive naturals, for example, 12165450 + ... + 12167350.

Almost surely, 2^23128326400 is an apocalyptic number.

23128326400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23128326400 is the 152080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23128326400

23128326400 is an abundant number, since it is smaller than the sum of its proper divisors (34148024823).

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

23128326400 is an frugal number, since it uses more digits than its factorization.

23128326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 23128326400 in words is "twenty-three billion, one hundred twenty-eight million, three hundred twenty-six thousand, four hundred".