172828448 has 48 divisors (see below), whose sum is σ = 375403896. Its totient is φ = 77813760.

The previous prime is 172828423. The next prime is 172828471. The reversal of 172828448 is 844828271.

It can be written as a sum of positive squares in 4 ways, for example, as 99760144 + 73068304 = 9988^2 + 8548^2 .

It is a junction number, because it is equal to n+sod(n) for n = 172828399 and 172828408.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11990 + ... + 22122.

Almost surely, 2^172828448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172828448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187701948).

172828448 is an abundant number, since it is smaller than the sum of its proper divisors (202575448).

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

172828448 is a wasteful number, since it uses less digits than its factorization.

172828448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10197 (or 10189 counting only the distinct ones).

The product of its digits is 229376, while the sum is 44.

The square root of 172828448 is about 13146.4233919344. The cubic root of 172828448 is about 557.0212240784.

The spelling of 172828448 in words is "one hundred seventy-two million, eight hundred twenty-eight thousand, four hundred forty-eight".