41829888 has 80 divisors (see below), whose sum is σ = 112890096. Its totient is φ = 13762560.

The previous prime is 41829883. The next prime is 41829889. The reversal of 41829888 is 88892814.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41829883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173448 + ... + 173688.

Almost surely, 2^41829888 is an apocalyptic number.

41829888 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 41829888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56445048).

41829888 is an abundant number, since it is smaller than the sum of its proper divisors (71060208).

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

41829888 is a wasteful number, since it uses less digits than its factorization.

41829888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 359 counting only the distinct ones).

The product of its digits is 294912, while the sum is 48.

The square root of 41829888 is about 6467.6029562737. The cubic root of 41829888 is about 347.1327327618.

The spelling of 41829888 in words is "forty-one million, eight hundred twenty-nine thousand, eight hundred eighty-eight".