41257728 has 144 divisors (see below), whose sum is σ = 125583360. Its totient is φ = 13353984.

The previous prime is 41257717. The next prime is 41257747. The reversal of 41257728 is 82775214.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 41257692 and 41257701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324801 + ... + 324927.

Almost surely, 2^41257728 is an apocalyptic number.

41257728 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 41257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62791680).

41257728 is an abundant number, since it is smaller than the sum of its proper divisors (84325632).

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

41257728 is a wasteful number, since it uses less digits than its factorization.

41257728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 41257728 is about 6423.2178851414. The cubic root of 41257728 is about 345.5427374263.

The spelling of 41257728 in words is "forty-one million, two hundred fifty-seven thousand, seven hundred twenty-eight".