40506928 has 120 divisors (see below), whose sum is σ = 102250400. Its totient is φ = 15523200.

The previous prime is 40506923. The next prime is 40506929. The reversal of 40506928 is 82960504.

It is a happy number.

It is a super-2 number, since 2×40506928² = 3281622431994368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40506893 and 40506902.

It is not an unprimeable number, because it can be changed into a prime (40506923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 664018 + ... + 664078.

Almost surely, 2^40506928 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 40506928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51125200).

40506928 is an abundant number, since it is smaller than the sum of its proper divisors (61743472).

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

40506928 is a wasteful number, since it uses less digits than its factorization.

40506928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 40506928 is about 6364.5053224897. The cubic root of 40506928 is about 343.4338533292.

The spelling of 40506928 in words is "forty million, five hundred six thousand, nine hundred twenty-eight".