248729988 has 96 divisors (see below), whose sum is σ = 679383040. Its totient is φ = 70139520.

The previous prime is 248729959. The next prime is 248729989. The reversal of 248729988 is 889927842.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (248729989) 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 31 ways as a sum of consecutive naturals, for example, 90531 + ... + 93237.

Almost surely, 2^248729988 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 248729988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339691520).

248729988 is an abundant number, since it is smaller than the sum of its proper divisors (430653052).

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

248729988 is a wasteful number, since it uses less digits than its factorization.

248729988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2775 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 57.

The square root of 248729988 is about 15771.1758597766. The cubic root of 248729988 is about 628.8919702282.

It can be divided in two parts, 248 and 729988, that added together give a triangular number (730236 = T₁₂₀₈).

The spelling of 248729988 in words is "two hundred forty-eight million, seven hundred twenty-nine thousand, nine hundred eighty-eight".