248928200 has 48 divisors (see below), whose sum is σ = 581413680. Its totient is φ = 99114560.

The previous prime is 248928167. The next prime is 248928203. The reversal of 248928200 is 2829842.

It is not an unprimeable number, because it can be changed into a prime (248928203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42659 + ... + 48141.

It is an arithmetic number, because the mean of its divisors is an integer number (12112785).

Almost surely, 2^248928200 is an apocalyptic number.

248928200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248928200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290706840).

248928200 is an abundant number, since it is smaller than the sum of its proper divisors (332485480).

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

248928200 is a wasteful number, since it uses less digits than its factorization.

248928200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5726 (or 5717 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 248928200 is about 15777.4586039704. The cubic root of 248928200 is about 629.0589797617.

The spelling of 248928200 in words is "two hundred forty-eight million, nine hundred twenty-eight thousand, two hundred".