248288328 has 60 divisors (see below), whose sum is σ = 696562515. Its totient is φ = 82629072.

The previous prime is 248288317. The next prime is 248288363. The reversal of 248288328 is 823882842.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

248288328 is a `hidden beast` number, since 2 + 48 + 288 + 328 = 666.

It can be written as a sum of positive squares in only one way, i.e., 124144164 + 124144164 = 11142^2 + 11142^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=11142.

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

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 400803 + ... + 401421.

Almost surely, 2^248288328 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 248288328

248288328 is an abundant number, since it is smaller than the sum of its proper divisors (448274187).

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

248288328 is an frugal number, since it uses more digits than its factorization.

248288328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 624 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 248288328 is about 15757.1675119610. The cubic root of 248288328 is about 628.5195168266.

The spelling of 248288328 in words is "two hundred forty-eight million, two hundred eighty-eight thousand, three hundred twenty-eight".