41819328 has 84 divisors (see below), whose sum is σ = 124353320. Its totient is φ = 13934592.

The previous prime is 41819321. The next prime is 41819333. The reversal of 41819328 is 82391814.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 41819292 and 41819301.

It is not an unprimeable number, because it can be changed into a prime (41819321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14208 + ... + 16896.

Almost surely, 2^41819328 is an apocalyptic number.

41819328 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 41819328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62176660).

41819328 is an abundant number, since it is smaller than the sum of its proper divisors (82533992).

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

41819328 is an equidigital number, since it uses as much as digits as its factorization.

41819328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2694 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 41819328 is about 6466.7865280988. The cubic root of 41819328 is about 347.1035189600.

The spelling of 41819328 in words is "forty-one million, eight hundred nineteen thousand, three hundred twenty-eight".