8232298920 has 320 divisors, whose sum is σ = 29362227840. Its totient is φ = 2064268800.

The previous prime is 8232298913. The next prime is 8232298927. The reversal of 8232298920 is 298922328.

It is an interprime number because it is at equal distance from previous prime (8232298913) and next prime (8232298927).

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

It is not an unprimeable number, because it can be changed into a prime (8232298927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4544815 + ... + 4546625.

It is an arithmetic number, because the mean of its divisors is an integer number (91756962).

Almost surely, 2^8232298920 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 8232298920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14681113920).

8232298920 is an abundant number, since it is smaller than the sum of its proper divisors (21129928920).

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

8232298920 is a wasteful number, since it uses less digits than its factorization.

8232298920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 8232298920 is about 90732.0170612337. The cubic root of 8232298920 is about 2019.1738378875.

The spelling of 8232298920 in words is "eight billion, two hundred thirty-two million, two hundred ninety-eight thousand, nine hundred twenty".