40328000 has 84 divisors (see below), whose sum is σ = 101298756. Its totient is φ = 15904000.

The previous prime is 40327967. The next prime is 40328027. The reversal of 40328000 is 82304.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1290496 + 39037504 = 1136^2 + 6248^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40328000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 567965 + ... + 568035.

Almost surely, 2^40328000 is an apocalyptic number.

40328000 is a gapful number since it is divisible by the number (40) 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 40328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50649378).

40328000 is an abundant number, since it is smaller than the sum of its proper divisors (60970756).

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

40328000 is an frugal number, since it uses more digits than its factorization.

40328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 40328000 is about 6350.4330560994. The cubic root of 40328000 is about 342.9274326787.

The spelling of 40328000 in words is "forty million, three hundred twenty-eight thousand".