8292328920 has 144 divisors (see below), whose sum is σ = 28173403440. Its totient is φ = 2115096192.

The previous prime is 8292328909. The next prime is 8292328921. The reversal of 8292328920 is 298232928.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8292328921) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 168669 + ... + 212211.

It is an arithmetic number, because the mean of its divisors is an integer number (195648635).

Almost surely, 2^8292328920 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 8292328920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14086701720).

8292328920 is an abundant number, since it is smaller than the sum of its proper divisors (19881074520).

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

8292328920 is a wasteful number, since it uses less digits than its factorization.

8292328920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43606 (or 43576 counting only the distinct ones).

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

The square root of 8292328920 is about 91062.2255383647. The cubic root of 8292328920 is about 2024.0699011671.

The spelling of 8292328920 in words is "eight billion, two hundred ninety-two million, three hundred twenty-eight thousand, nine hundred twenty".