40828832 has 48 divisors (see below), whose sum is σ = 92860992. Its totient is φ = 17464320.

The previous prime is 40828817. The next prime is 40828861. The reversal of 40828832 is 23882804.

It is a junction number, because it is equal to n+sod(n) for n = 40828792 and 40828801.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2573 + ... + 9395.

It is an arithmetic number, because the mean of its divisors is an integer number (1934604).

Almost surely, 2^40828832 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 40828832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46430496).

40828832 is an abundant number, since it is smaller than the sum of its proper divisors (52032160).

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

40828832 is a wasteful number, since it uses less digits than its factorization.

40828832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6861 (or 6853 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 40828832 is about 6389.7442828332. The cubic root of 40828832 is about 344.3411974358.

The spelling of 40828832 in words is "forty million, eight hundred twenty-eight thousand, eight hundred thirty-two".