248480128 has 64 divisors (see below), whose sum is σ = 550408320. Its totient is φ = 110960640.

The previous prime is 248480087. The next prime is 248480129. The reversal of 248480128 is 821084842.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248480129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49176 + ... + 53992.

It is an arithmetic number, because the mean of its divisors is an integer number (8600130).

Almost surely, 2^248480128 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 248480128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275204160).

248480128 is an abundant number, since it is smaller than the sum of its proper divisors (301928192).

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

248480128 is a wasteful number, since it uses less digits than its factorization.

248480128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4875 (or 4863 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 37.

The square root of 248480128 is about 15763.2524562668. The cubic root of 248480128 is about 628.6813166401.

It can be divided in two parts, 248 and 480128, that multiplied together give a square (119071744 = 10912²).

The spelling of 248480128 in words is "two hundred forty-eight million, four hundred eighty thousand, one hundred twenty-eight".