41431728 has 80 divisors (see below), whose sum is σ = 117103616. Its totient is φ = 12545280.

The previous prime is 41431727. The next prime is 41431729. The reversal of 41431728 is 82713414.

It is an interprime number because it is at equal distance from previous prime (41431727) and next prime (41431729).

It is a junction number, because it is equal to n+sod(n) for n = 41431695 and 41431704.

It is not an unprimeable number, because it can be changed into a prime (41431727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41313 + ... + 42303.

Almost surely, 2^41431728 is an apocalyptic number.

41431728 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 41431728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58551808).

41431728 is an abundant number, since it is smaller than the sum of its proper divisors (75671888).

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

41431728 is a wasteful number, since it uses less digits than its factorization.

41431728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1076 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 41431728 is about 6436.7482473684. The cubic root of 41431728 is about 346.0278191628.

The spelling of 41431728 in words is "forty-one million, four hundred thirty-one thousand, seven hundred twenty-eight".