248833728 has 448 divisors, whose sum is σ = 921715200. Its totient is φ = 64696320.

The previous prime is 248833727. The next prime is 248833729. The reversal of 248833728 is 827338842.

248833728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248833727) and next prime (248833729).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248833721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4694950 + ... + 4695002.

It is an arithmetic number, because the mean of its divisors is an integer number (2057400).

Almost surely, 2^248833728 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 248833728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460857600).

248833728 is an abundant number, since it is smaller than the sum of its proper divisors (672881472).

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

248833728 is a wasteful number, since it uses less digits than its factorization.

248833728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 248833728 is about 15774.4644283094. The cubic root of 248833728 is about 628.9793905742.

The spelling of 248833728 in words is "two hundred forty-eight million, eight hundred thirty-three thousand, seven hundred twenty-eight".