248106528 has 72 divisors (see below), whose sum is σ = 709296588. Its totient is φ = 82263552.

The previous prime is 248106527. The next prime is 248106553. The reversal of 248106528 is 825601842.

248106528 is a `hidden beast` number, since 24 + 8 + 106 + 528 = 666.

248106528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 217503504 + 30603024 = 14748^2 + 5532^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 248106492 and 248106501.

It is not an unprimeable number, because it can be changed into a prime (248106527) 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 11 ways as a sum of consecutive naturals, for example, 54550 + ... + 58922.

Almost surely, 2^248106528 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 248106528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354648294).

248106528 is an abundant number, since it is smaller than the sum of its proper divisors (461190060).

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

248106528 is a wasteful number, since it uses less digits than its factorization.

248106528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586 (or 4575 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 248106528 is about 15751.3976522720. The cubic root of 248106528 is about 628.3660759337.

The spelling of 248106528 in words is "two hundred forty-eight million, one hundred six thousand, five hundred twenty-eight".