248428008 has 48 divisors (see below), whose sum is σ = 677142180. Its totient is φ = 82278144.

The previous prime is 248428001. The next prime is 248428039. The reversal of 248428008 is 800824842.

It can be written as a sum of positive squares in 2 ways, for example, as 244672164 + 3755844 = 15642^2 + 1938^2 .

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

It is not an unprimeable number, because it can be changed into a prime (248428001) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 316 + ... + 22292.

Almost surely, 2^248428008 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 248428008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338571090).

248428008 is an abundant number, since it is smaller than the sum of its proper divisors (428714172).

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

248428008 is a wasteful number, since it uses less digits than its factorization.

248428008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22146 (or 22139 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 248428008 is about 15761.5991574459. The cubic root of 248428008 is about 628.6373571737.

The spelling of 248428008 in words is "two hundred forty-eight million, four hundred twenty-eight thousand, eight".