41033328 has 80 divisors (see below), whose sum is σ = 122492160. Its totient is φ = 11593728.

The previous prime is 41033273. The next prime is 41033329. The reversal of 41033328 is 82333014.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 41033298 and 41033307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41033329) 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, 31963 + ... + 33221.

It is an arithmetic number, because the mean of its divisors is an integer number (1531152).

Almost surely, 2^41033328 is an apocalyptic number.

41033328 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 41033328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61246080).

41033328 is an abundant number, since it is smaller than the sum of its proper divisors (81458832).

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

41033328 is a wasteful number, since it uses less digits than its factorization.

41033328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 41033328 is about 6405.7261883412. The cubic root of 41033328 is about 344.9151314033.

The spelling of 41033328 in words is "forty-one million, thirty-three thousand, three hundred twenty-eight".