248496528 has 80 divisors (see below), whose sum is σ = 735952896. Its totient is φ = 70776960.

The previous prime is 248496517. The next prime is 248496541. The reversal of 248496528 is 825694842.

It is a happy number.

248496528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127723 + ... + 129653.

Almost surely, 2^248496528 is an apocalyptic number.

248496528 is a gapful number since it is divisible by the number (28) 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 248496528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367976448).

248496528 is an abundant number, since it is smaller than the sum of its proper divisors (487456368).

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

248496528 is a wasteful number, since it uses less digits than its factorization.

248496528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2326 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 248496528 is about 15763.7726448969. The cubic root of 248496528 is about 628.6951475875.

The spelling of 248496528 in words is "two hundred forty-eight million, four hundred ninety-six thousand, five hundred twenty-eight".