8248558428 has 192 divisors, whose sum is σ = 23804928000. Its totient is φ = 2449137600.

The previous prime is 8248558427. The next prime is 8248558441.

8248558428 is a `hidden beast` number, since 8 + 2 + 48 + 558 + 42 + 8 = 666.

8248558428 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8248558428² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8248558427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16799263 + ... + 16799753.

It is an arithmetic number, because the mean of its divisors is an integer number (123984000).

Almost surely, 2^8248558428 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 8248558428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11902464000).

8248558428 is an abundant number, since it is smaller than the sum of its proper divisors (15556369572).

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

8248558428 is a wasteful number, since it uses less digits than its factorization.

8248558428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 765 counting only the distinct ones).

The product of its digits is 6553600, while the sum is 54.

The square root of 8248558428 is about 90821.5746835519. The cubic root of 8248558428 is about 2020.5023117694.

The spelling of 8248558428 in words is "eight billion, two hundred forty-eight million, five hundred fifty-eight thousand, four hundred twenty-eight".