831364128 has 192 divisors, whose sum is σ = 2800707840. Its totient is φ = 235008000.

The previous prime is 831364097. The next prime is 831364139. The reversal of 831364128 is 821463138.

831364128 is a `hidden beast` number, since 8 + 3 + 1 + 3 + 641 + 2 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 831364092 and 831364101.

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, 610168 + ... + 611528.

It is an arithmetic number, because the mean of its divisors is an integer number (14587020).

Almost surely, 2^831364128 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 831364128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400353920).

831364128 is an abundant number, since it is smaller than the sum of its proper divisors (1969343712).

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

831364128 is a wasteful number, since it uses less digits than its factorization.

831364128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1474 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 831364128 is about 28833.3856492782. The cubic root of 831364128 is about 940.2942069872.

The spelling of 831364128 in words is "eight hundred thirty-one million, three hundred sixty-four thousand, one hundred twenty-eight".