248628528 has 200 divisors, whose sum is σ = 792211200. Its totient is φ = 74929536.

The previous prime is 248628511. The next prime is 248628539. The reversal of 248628528 is 825826842.

248628528 is a `hidden beast` number, since 24 + 86 + 28 + 528 = 666.

It is a super-2 number, since 2×248628528² = 123632289870893568, which contains 22 as substring.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 566133 + ... + 566571.

It is an arithmetic number, because the mean of its divisors is an integer number (3961056).

Almost surely, 2^248628528 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 248628528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396105600).

248628528 is an abundant number, since it is smaller than the sum of its proper divisors (543582672).

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

248628528 is a wasteful number, since it uses less digits than its factorization.

248628528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 486 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 248628528 is about 15767.9589040560. The cubic root of 248628528 is about 628.8064476933.

The spelling of 248628528 in words is "two hundred forty-eight million, six hundred twenty-eight thousand, five hundred twenty-eight".