8442620928 has 528 divisors, whose sum is σ = 29899693824. Its totient is φ = 2329067520.

The previous prime is 8442620917. The next prime is 8442620933. The reversal of 8442620928 is 8290262448.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64447423 + ... + 64447553.

It is an arithmetic number, because the mean of its divisors is an integer number (56628208).

Almost surely, 2^8442620928 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 8442620928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14949846912).

8442620928 is an abundant number, since it is smaller than the sum of its proper divisors (21457072896).

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

8442620928 is a wasteful number, since it uses less digits than its factorization.

8442620928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 8442620928 is about 91883.7359275296. The cubic root of 8442620928 is about 2036.2249909935.

The spelling of 8442620928 in words is "eight billion, four hundred forty-two million, six hundred twenty thousand, nine hundred twenty-eight".