4285684128 has 96 divisors (see below), whose sum is σ = 12291072192. Its totient is φ = 1296742400.

The previous prime is 4285684111. The next prime is 4285684129. The reversal of 4285684128 is 8214865824.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4285684128² = 36734176889982240768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4285684129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 800950 + ... + 806282.

It is an arithmetic number, because the mean of its divisors is an integer number (128032002).

Almost surely, 2^4285684128 is an apocalyptic number.

4285684128 is a gapful number since it is divisible by the number (48) 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 4285684128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6145536096).

4285684128 is an abundant number, since it is smaller than the sum of its proper divisors (8005388064).

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

4285684128 is a wasteful number, since it uses less digits than its factorization.

4285684128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6118 (or 6110 counting only the distinct ones).

The product of its digits is 983040, while the sum is 48.

The square root of 4285684128 is about 65465.1367370450. The cubic root of 4285684128 is about 1624.3267115908.

The spelling of 4285684128 in words is "four billion, two hundred eighty-five million, six hundred eighty-four thousand, one hundred twenty-eight".