41828000 has 48 divisors (see below), whose sum is σ = 102781224. Its totient is φ = 16729600.

The previous prime is 41827997. The next prime is 41828011. The reversal of 41828000 is 82814.

It can be written as a sum of positive squares in 4 ways, for example, as 21864976 + 19963024 = 4676^2 + 4468^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1229 + ... + 9228.

Almost surely, 2^41828000 is an apocalyptic number.

41828000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41828000 is an abundant number, since it is smaller than the sum of its proper divisors (60953224).

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

41828000 is a wasteful number, since it uses less digits than its factorization.

41828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10482 (or 10464 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 41828000 is about 6467.4569963781. The cubic root of 41828000 is about 347.1275100491.

The spelling of 41828000 in words is "forty-one million, eight hundred twenty-eight thousand".