41929128 has 96 divisors (see below), whose sum is σ = 120463200. Its totient is φ = 13152384.

The previous prime is 41929109. The next prime is 41929133. The reversal of 41929128 is 82192914.

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 = 41929092 and 41929101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89551 + ... + 90017.

It is an arithmetic number, because the mean of its divisors is an integer number (1254825).

Almost surely, 2^41929128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41929128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60231600).

41929128 is an abundant number, since it is smaller than the sum of its proper divisors (78534072).

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

41929128 is a wasteful number, since it uses less digits than its factorization.

41929128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 544 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 41929128 is about 6475.2704962804. The cubic root of 41929128 is about 347.4070361886.

The spelling of 41929128 in words is "forty-one million, nine hundred twenty-nine thousand, one hundred twenty-eight".