41728464 has 60 divisors (see below), whose sum is σ = 117500292. Its totient is φ = 13824000.

The previous prime is 41728441. The next prime is 41728469. The reversal of 41728464 is 46482714.

It can be written as a sum of positive squares in 2 ways, for example, as 22014864 + 19713600 = 4692^2 + 4440^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41728469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25264 + ... + 26864.

Almost surely, 2^41728464 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 41728464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58750146).

41728464 is an abundant number, since it is smaller than the sum of its proper divisors (75771828).

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

41728464 is a wasteful number, since it uses less digits than its factorization.

41728464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1787 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 41728464 is about 6459.7572709816. The cubic root of 41728464 is about 346.8519440239.

The spelling of 41728464 in words is "forty-one million, seven hundred twenty-eight thousand, four hundred sixty-four".