32828040 has 144 divisors (see below), whose sum is σ = 124176780. Its totient is φ = 7499520.

The previous prime is 32828023. The next prime is 32828083. The reversal of 32828040 is 4082823.

It can be written as a sum of positive squares in 2 ways, for example, as 26687556 + 6140484 = 5166^2 + 2478^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32827995 and 32828013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16710 + ... + 18570.

Almost surely, 2^32828040 is an apocalyptic number.

32828040 is a gapful number since it is divisible by the number (30) 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 32828040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62088390).

32828040 is an abundant number, since it is smaller than the sum of its proper divisors (91348740).

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

32828040 is a wasteful number, since it uses less digits than its factorization.

32828040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 32828040 is about 5729.5759005357. The cubic root of 32828040 is about 320.1953234614.

The spelling of 32828040 in words is "thirty-two million, eight hundred twenty-eight thousand, forty".