8829025920 has 768 divisors, whose sum is σ = 37237898880. Its totient is φ = 1970749440.

The previous prime is 8829025873. The next prime is 8829025967. The reversal of 8829025920 is 295209288.

It is an interprime number because it is at equal distance from previous prime (8829025873) and next prime (8829025967).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22239162 + ... + 22239558.

Almost surely, 2^8829025920 is an apocalyptic number.

8829025920 is a gapful number since it is divisible by the number (80) 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 8829025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18618949440).

8829025920 is an abundant number, since it is smaller than the sum of its proper divisors (28408872960).

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

8829025920 is a wasteful number, since it uses less digits than its factorization.

8829025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 8829025920 is about 93962.8965070788. The cubic root of 8829025920 is about 2066.8276549351.

The spelling of 8829025920 in words is "eight billion, eight hundred twenty-nine million, twenty-five thousand, nine hundred twenty".