40057728 has 64 divisors (see below), whose sum is σ = 107936400. Its totient is φ = 13160448.

The previous prime is 40057727. The next prime is 40057741. The reversal of 40057728 is 82775004.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40057727) 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 7 ways as a sum of consecutive naturals, for example, 27318 + ... + 28746.

Almost surely, 2^40057728 is an apocalyptic number.

40057728 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 40057728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53968200).

40057728 is an abundant number, since it is smaller than the sum of its proper divisors (67878672).

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

40057728 is a wasteful number, since it uses less digits than its factorization.

40057728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 40057728 is about 6329.1174740243. The cubic root of 40057728 is about 342.1596327382.

The spelling of 40057728 in words is "forty million, fifty-seven thousand, seven hundred twenty-eight".