41603328 has 144 divisors (see below), whose sum is σ = 132778240. Its totient is φ = 12773376.

The previous prime is 41603327. The next prime is 41603339. The reversal of 41603328 is 82330614.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41603321) 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, 89625 + ... + 90087.

Almost surely, 2^41603328 is an apocalyptic number.

41603328 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 41603328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66389120).

41603328 is an abundant number, since it is smaller than the sum of its proper divisors (91174912).

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

41603328 is a wasteful number, since it uses less digits than its factorization.

41603328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 41603328 is about 6450.0641857271. The cubic root of 41603328 is about 346.5048817738.

The spelling of 41603328 in words is "forty-one million, six hundred three thousand, three hundred twenty-eight".