41131728 has 120 divisors (see below), whose sum is σ = 131152320. Its totient is φ = 11911680.

The previous prime is 41131709. The next prime is 41131747. The reversal of 41131728 is 82713114.

It is an interprime number because it is at equal distance from previous prime (41131709) and next prime (41131747).

It is a congruent number.

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, 35868 + ... + 36996.

It is an arithmetic number, because the mean of its divisors is an integer number (1092936).

Almost surely, 2^41131728 is an apocalyptic number.

41131728 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 41131728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65576160).

41131728 is an abundant number, since it is smaller than the sum of its proper divisors (90020592).

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

41131728 is a wasteful number, since it uses less digits than its factorization.

41131728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1168 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 41131728 is about 6413.4022172323. The cubic root of 41131728 is about 345.1906192974.

It can be divided in two parts, 41 and 131728, that added together give a square (131769 = 363²).

The spelling of 41131728 in words is "forty-one million, one hundred thirty-one thousand, seven hundred twenty-eight".