41095728 has 80 divisors (see below), whose sum is σ = 118742400. Its totient is φ = 13608000.

The previous prime is 41095709. The next prime is 41095729. The reversal of 41095728 is 82759014.

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

It is a junction number, because it is equal to n+sod(n) for n = 41095692 and 41095701.

It is not an unprimeable number, because it can be changed into a prime (41095729) 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, 108243 + ... + 108621.

It is an arithmetic number, because the mean of its divisors is an integer number (1484280).

Almost surely, 2^41095728 is an apocalyptic number.

41095728 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 41095728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59371200).

41095728 is an abundant number, since it is smaller than the sum of its proper divisors (77646672).

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

41095728 is a wasteful number, since it uses less digits than its factorization.

41095728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 41095728 is about 6410.5949801871. The cubic root of 41095728 is about 345.0898820632.

The spelling of 41095728 in words is "forty-one million, ninety-five thousand, seven hundred twenty-eight".