248928120 has 256 divisors, whose sum is σ = 998784000. Its totient is φ = 53872128.

The previous prime is 248928107. The next prime is 248928133. The reversal of 248928120 is 21829842.

It is an interprime number because it is at equal distance from previous prime (248928107) and next prime (248928133).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142774 + ... + 144506.

It is an arithmetic number, because the mean of its divisors is an integer number (3901500).

Almost surely, 2^248928120 is an apocalyptic number.

248928120 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 248928120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499392000).

248928120 is an abundant number, since it is smaller than the sum of its proper divisors (749855880).

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

248928120 is a wasteful number, since it uses less digits than its factorization.

248928120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 248928120 is about 15777.4560687077. The cubic root of 248928120 is about 629.0589123731.

It can be divided in two parts, 24 and 8928120, that added together give a square (8928144 = 2988²).

The spelling of 248928120 in words is "two hundred forty-eight million, nine hundred twenty-eight thousand, one hundred twenty".