248132628 has 108 divisors (see below), whose sum is σ = 674975028. Its totient is φ = 76826880.

The previous prime is 248132627. The next prime is 248132657. The reversal of 248132628 is 826231842.

248132628 is a `hidden beast` number, since 24 + 8 + 1 + 3 + 2 + 628 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4210704 + 243921924 = 2052^2 + 15618^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 248132592 and 248132601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248132627) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 792600 + ... + 792912.

Almost surely, 2^248132628 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 248132628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337487514).

248132628 is an abundant number, since it is smaller than the sum of its proper divisors (426842400).

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

248132628 is a wasteful number, since it uses less digits than its factorization.

248132628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 398 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 248132628 is about 15752.2261283921. The cubic root of 248132628 is about 628.3881091838.

The spelling of 248132628 in words is "two hundred forty-eight million, one hundred thirty-two thousand, six hundred twenty-eight".