851009328 has 240 divisors, whose sum is σ = 2701389600. Its totient is φ = 257789952.

The previous prime is 851009309. The next prime is 851009359. The reversal of 851009328 is 823900158.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 851009292 and 851009301.

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, 5711398 + ... + 5711546.

It is an arithmetic number, because the mean of its divisors is an integer number (11255790).

Almost surely, 2^851009328 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 851009328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350694800).

851009328 is an abundant number, since it is smaller than the sum of its proper divisors (1850380272).

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

851009328 is a wasteful number, since it uses less digits than its factorization.

851009328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 851009328 is about 29172.0641710524. The cubic root of 851009328 is about 947.6430317602.

The spelling of 851009328 in words is "eight hundred fifty-one million, nine thousand, three hundred twenty-eight".