23170928400 has 405 divisors, whose sum is σ = 83741990709. Its totient is φ = 5932926720.

The previous prime is 23170928381. The next prime is 23170928401. The reversal of 23170928400 is 482907132.

The square root of 23170928400 is 152220.

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

It can be written as a sum of positive squares in only one way, i.e., 8341534224 + 14829394176 = 91332^2 + 121776^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23170928401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 392727571 + ... + 392727629.

Almost surely, 2^23170928400 is an apocalyptic number.

23170928400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23170928400 is the 152220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23170928400

23170928400 is an abundant number, since it is smaller than the sum of its proper divisors (60571062309).

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

23170928400 is a wasteful number, since it uses less digits than its factorization.

23170928400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 23170928400 by its sum of digits (36), we get a square (834153422400 = 913320²).

23170928400 divided by its sum of digits (36) gives a square (643636900 = 25370²).

The spelling of 23170928400 in words is "twenty-three billion, one hundred seventy million, nine hundred twenty-eight thousand, four hundred".