40092128 has 96 divisors (see below), whose sum is σ = 89994240. Its totient is φ = 17487360.

The previous prime is 40092119. The next prime is 40092139. The reversal of 40092128 is 82129004.

It is a junction number, because it is equal to n+sod(n) for n = 40092097 and 40092106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657218 + ... + 657278.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^40092128 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 40092128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120).

40092128 is an abundant number, since it is smaller than the sum of its proper divisors (49902112).

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

40092128 is a wasteful number, since it uses less digits than its factorization.

40092128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 40092128 is about 6331.8344893088. The cubic root of 40092128 is about 342.2575491227.

The spelling of 40092128 in words is "forty million, ninety-two thousand, one hundred twenty-eight".