2853232128 has 480 divisors, whose sum is σ = 9651882240. Its totient is φ = 836075520.

The previous prime is 2853232099. The next prime is 2853232139. The reversal of 2853232128 is 8212323582.

It is a happy number.

2853232128 is a `hidden beast` number, since 285 + 32 + 321 + 28 = 666.

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 = 2853232092 and 2853232101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40186333 + ... + 40186403.

It is an arithmetic number, because the mean of its divisors is an integer number (20108088).

Almost surely, 2^2853232128 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 2853232128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825941120).

2853232128 is an abundant number, since it is smaller than the sum of its proper divisors (6798650112).

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

2853232128 is an equidigital number, since it uses as much as digits as its factorization.

2853232128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 112 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2853232128 is about 53415.6543346611. The cubic root of 2853232128 is about 1418.3357027207.

The spelling of 2853232128 in words is "two billion, eight hundred fifty-three million, two hundred thirty-two thousand, one hundred twenty-eight".