2853692128 has 48 divisors (see below), whose sum is σ = 6443799264. Its totient is φ = 1218631680.

The previous prime is 2853692123. The next prime is 2853692143. The reversal of 2853692128 is 8212963582.

It is a super-2 number, since 2×2853692128² = 16287117522818336768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2853692123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40276 + ... + 85612.

It is an arithmetic number, because the mean of its divisors is an integer number (134245818).

Almost surely, 2^2853692128 is an apocalyptic number.

2853692128 is a gapful number since it is divisible by the number (28) 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 2853692128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221899632).

2853692128 is an abundant number, since it is smaller than the sum of its proper divisors (3590107136).

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

2853692128 is a wasteful number, since it uses less digits than its factorization.

2853692128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45635 (or 45627 counting only the distinct ones).

The product of its digits is 414720, while the sum is 46.

The square root of 2853692128 is about 53419.9600149607. The cubic root of 2853692128 is about 1418.4119203031.

The spelling of 2853692128 in words is "two billion, eight hundred fifty-three million, six hundred ninety-two thousand, one hundred twenty-eight".