248828832 has 72 divisors (see below), whose sum is σ = 808700256. Its totient is φ = 71093376.

The previous prime is 248828819. The next prime is 248828843. The reversal of 248828832 is 238828842.

It is a happy number.

248828832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59698 + ... + 63729.

It is an arithmetic number, because the mean of its divisors is an integer number (11231948).

Almost surely, 2^248828832 is an apocalyptic number.

It is an amenable number.

248828832 is an abundant number, since it is smaller than the sum of its proper divisors (559871424).

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

248828832 is a wasteful number, since it uses less digits than its factorization.

248828832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123450 (or 123439 counting only the distinct ones).

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

The square root of 248828832 is about 15774.3092400270. The cubic root of 248828832 is about 628.9752653252.

The spelling of 248828832 in words is "two hundred forty-eight million, eight hundred twenty-eight thousand, eight hundred thirty-two".