8425029888 has 288 divisors, whose sum is σ = 28123804800. Its totient is φ = 2464358400.

The previous prime is 8425029839. The next prime is 8425029901. The reversal of 8425029888 is 8889205248.

It is a happy number.

8425029888 is a `hidden beast` number, since 8 + 42 + 502 + 98 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×8425029888² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2203018 + ... + 2206838.

It is an arithmetic number, because the mean of its divisors is an integer number (97652100).

Almost surely, 2^8425029888 is an apocalyptic number.

8425029888 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 8425029888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061902400).

8425029888 is an abundant number, since it is smaller than the sum of its proper divisors (19698774912).

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

8425029888 is a wasteful number, since it uses less digits than its factorization.

8425029888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3886 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The square root of 8425029888 is about 91787.9615635950. The cubic root of 8425029888 is about 2034.8097818971.

The spelling of 8425029888 in words is "eight billion, four hundred twenty-five million, twenty-nine thousand, eight hundred eighty-eight".