8435389248 has 336 divisors, whose sum is σ = 29465357376. Its totient is φ = 2358927360.

The previous prime is 8435389223. The next prime is 8435389253. The reversal of 8435389248 is 8429835348.

8435389248 is a `hidden beast` number, since 84 + 3 + 538 + 9 + 24 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8435389194 and 8435389203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2222040 + ... + 2225832.

It is an arithmetic number, because the mean of its divisors is an integer number (87694516).

Almost surely, 2^8435389248 is an apocalyptic number.

8435389248 is a gapful number since it is divisible by the number (88) 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 8435389248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14732678688).

8435389248 is an abundant number, since it is smaller than the sum of its proper divisors (21029968128).

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

8435389248 is a wasteful number, since it uses less digits than its factorization.

8435389248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3844 (or 3822 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 8435389248 is about 91844.3751571102. The cubic root of 8435389248 is about 2035.6434364389.

The spelling of 8435389248 in words is "eight billion, four hundred thirty-five million, three hundred eighty-nine thousand, two hundred forty-eight".