40095328 has 96 divisors (see below), whose sum is σ = 99489600. Its totient is φ = 15805440.

The previous prime is 40095317. The next prime is 40095329. The reversal of 40095328 is 82359004.

It is a self number, because there is not a number n which added to its sum of digits gives 40095328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40095329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142548 + ... + 142828.

It is an arithmetic number, because the mean of its divisors is an integer number (1036350).

Almost surely, 2^40095328 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 40095328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49744800).

40095328 is an abundant number, since it is smaller than the sum of its proper divisors (59394272).

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

40095328 is a wasteful number, since it uses less digits than its factorization.

40095328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 40095328 is about 6332.0871756475. The cubic root of 40095328 is about 342.2666547757.

The spelling of 40095328 in words is "forty million, ninety-five thousand, three hundred twenty-eight".