40105728 has 162 divisors, whose sum is σ = 126429576. Its totient is φ = 12220416.

The previous prime is 40105727. The next prime is 40105739. The reversal of 40105728 is 82750104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40105727) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 389325 + ... + 389427.

Almost surely, 2^40105728 is an apocalyptic number.

40105728 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 40105728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63214788).

40105728 is an abundant number, since it is smaller than the sum of its proper divisors (86323848).

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

40105728 is a wasteful number, since it uses less digits than its factorization.

40105728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 40105728 is about 6332.9083366175. The cubic root of 40105728 is about 342.2962448025.

The spelling of 40105728 in words is "forty million, one hundred five thousand, seven hundred twenty-eight".