849130128 has 400 divisors, whose sum is σ = 3134275584. Its totient is φ = 215550720.

The previous prime is 849130111. The next prime is 849130151. The reversal of 849130128 is 821031948.

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 = 849130092 and 849130101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6686001 + ... + 6686127.

Almost surely, 2^849130128 is an apocalyptic number.

849130128 is a gapful number since it is divisible by the number (88) 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 849130128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567137792).

849130128 is an abundant number, since it is smaller than the sum of its proper divisors (2285145456).

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

849130128 is a wasteful number, since it uses less digits than its factorization.

849130128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 849130128 is about 29139.8374738089. The cubic root of 849130128 is about 946.9449888076.

The spelling of 849130128 in words is "eight hundred forty-nine million, one hundred thirty thousand, one hundred twenty-eight".