849128280 has 256 divisors, whose sum is σ = 3420748800. Its totient is φ = 162846720.

The previous prime is 849128279. The next prime is 849128299. The reversal of 849128280 is 82821948.

849128280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×849128280⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116586 + ... + 123654.

It is an arithmetic number, because the mean of its divisors is an integer number (13362300).

Almost surely, 2^849128280 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 849128280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710374400).

849128280 is an abundant number, since it is smaller than the sum of its proper divisors (2571620520).

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

849128280 is a wasteful number, since it uses less digits than its factorization.

849128280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7114 (or 7110 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 849128280 is about 29139.8057646238. The cubic root of 849128280 is about 946.9443018475.

The spelling of 849128280 in words is "eight hundred forty-nine million, one hundred twenty-eight thousand, two hundred eighty".