40193928 has 64 divisors (see below), whose sum is σ = 113788800. Its totient is φ = 13141440.

The previous prime is 40193917. The next prime is 40193929. The reversal of 40193928 is 82939104.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40193892 and 40193901.

It is not an unprimeable number, because it can be changed into a prime (40193929) 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, 9693 + ... + 13203.

It is an arithmetic number, because the mean of its divisors is an integer number (1777950).

Almost surely, 2^40193928 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 40193928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56894400).

40193928 is an abundant number, since it is smaller than the sum of its proper divisors (73594872).

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

40193928 is a wasteful number, since it uses less digits than its factorization.

40193928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3579 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 40193928 is about 6339.8681374300. The cubic root of 40193928 is about 342.5469855799.

The spelling of 40193928 in words is "forty million, one hundred ninety-three thousand, nine hundred twenty-eight".