841628320 has 192 divisors, whose sum is σ = 2240421120. Its totient is φ = 296755200.

The previous prime is 841628309. The next prime is 841628363. The reversal of 841628320 is 23826148.

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, 6054811 + ... + 6054949.

It is an arithmetic number, because the mean of its divisors is an integer number (11668860).

Almost surely, 2^841628320 is an apocalyptic number.

841628320 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 841628320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120210560).

841628320 is an abundant number, since it is smaller than the sum of its proper divisors (1398792800).

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

841628320 is a wasteful number, since it uses less digits than its factorization.

841628320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 841628320 is about 29010.8310808222. The cubic root of 841628320 is about 944.1480783700.

The spelling of 841628320 in words is "eight hundred forty-one million, six hundred twenty-eight thousand, three hundred twenty".