248489928 has 72 divisors (see below), whose sum is σ = 691948530. Its totient is φ = 80559360.

The previous prime is 248489921. The next prime is 248489929. The reversal of 248489928 is 829984842.

It can be written as a sum of positive squares in 3 ways, for example, as 224460324 + 24029604 = 14982^2 + 4902^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (248489921) 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 17 ways as a sum of consecutive naturals, for example, 97308 + ... + 99828.

Almost surely, 2^248489928 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 248489928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345974265).

248489928 is an abundant number, since it is smaller than the sum of its proper divisors (443458602).

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

248489928 is a wasteful number, since it uses less digits than its factorization.

248489928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607 (or 2563 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 248489928 is about 15763.5633027561. The cubic root of 248489928 is about 628.6895815477.

The spelling of 248489928 in words is "two hundred forty-eight million, four hundred eighty-nine thousand, nine hundred twenty-eight".