8248272400 has 135 divisors (see below), whose sum is σ = 21002213901. Its totient is φ = 3112583040.

The previous prime is 8248272317. The next prime is 8248272401. The reversal of 8248272400 is 42728428.

The square root of 8248272400 is 90820.

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., 2969378064 + 5278894336 = 54492^2 + 72656^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8248272400.

It is not an unprimeable number, because it can be changed into a prime (8248272401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34511481 + ... + 34511719.

Almost surely, 2^8248272400 is an apocalyptic number.

8248272400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8248272400 is the 90820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8248272400

8248272400 is an abundant number, since it is smaller than the sum of its proper divisors (12753941501).

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

8248272400 is a wasteful number, since it uses less digits than its factorization.

8248272400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The cubic root of 8248272400 is about 2020.4789571061.

The spelling of 8248272400 in words is "eight billion, two hundred forty-eight million, two hundred seventy-two thousand, four hundred".