41284128 has 96 divisors (see below), whose sum is σ = 113230656. Its totient is φ = 13160448.

The previous prime is 41284123. The next prime is 41284141. The reversal of 41284128 is 82148214.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 41284095 and 41284104.

It is not an unprimeable number, because it can be changed into a prime (41284123) 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, 301276 + ... + 301412.

It is an arithmetic number, because the mean of its divisors is an integer number (1179486).

Almost surely, 2^41284128 is an apocalyptic number.

41284128 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 41284128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56615328).

41284128 is an abundant number, since it is smaller than the sum of its proper divisors (71946528).

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

41284128 is a wasteful number, since it uses less digits than its factorization.

41284128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 41284128 is about 6425.2726012209. The cubic root of 41284128 is about 345.6164236879.

It can be divided in two parts, 4128 and 4128, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 41284128 in words is "forty-one million, two hundred eighty-four thousand, one hundred twenty-eight".