248728000 has 56 divisors (see below), whose sum is σ = 615994704. Its totient is φ = 99488000.

The previous prime is 248727989. The next prime is 248728001. The reversal of 248728000 is 827842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248728001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7546 + ... + 23545.

Almost surely, 2^248728000 is an apocalyptic number.

248728000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248728000 is an abundant number, since it is smaller than the sum of its proper divisors (367266704).

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

248728000 is an equidigital number, since it uses as much as digits as its factorization.

248728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31118 (or 31098 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 248728000 is about 15771.1128332784. The cubic root of 248728000 is about 628.8902947292.

The spelling of 248728000 in words is "two hundred forty-eight million, seven hundred twenty-eight thousand".