41682528 has 36 divisors (see below), whose sum is σ = 118535508. Its totient is φ = 13894080.

The previous prime is 41682457. The next prime is 41682547. The reversal of 41682528 is 82528614.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 41682492 and 41682501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72078 + ... + 72653.

It is an arithmetic number, because the mean of its divisors is an integer number (3292653).

Almost surely, 2^41682528 is an apocalyptic number.

41682528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41682528 is an abundant number, since it is smaller than the sum of its proper divisors (76852980).

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

41682528 is a wasteful number, since it uses less digits than its factorization.

41682528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144747 (or 144736 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 41682528 is about 6456.2007403736. The cubic root of 41682528 is about 346.7246221317.

It can be divided in two parts, 416 and 82528, that added together give a square (82944 = 288²).

The spelling of 41682528 in words is "forty-one million, six hundred eighty-two thousand, five hundred twenty-eight".