28971936 has 108 divisors (see below), whose sum is σ = 95886882. Its totient is φ = 8273664.

The previous prime is 28971931. The next prime is 28971947. The reversal of 28971936 is 63917982.

It can be written as a sum of positive squares in only one way, i.e., 24561936 + 4410000 = 4956^2 + 2100^2 .

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 28971891 and 28971900.

It is not an unprimeable number, because it can be changed into a prime (28971931) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 13086 + ... + 15138.

Almost surely, 2^28971936 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 28971936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47943441).

28971936 is an abundant number, since it is smaller than the sum of its proper divisors (66914946).

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

28971936 is a wasteful number, since it uses less digits than its factorization.

28971936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2065 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 28971936 is about 5382.5584994499. The cubic root of 28971936 is about 307.1325454108.

The spelling of 28971936 in words is "twenty-eight million, nine hundred seventy-one thousand, nine hundred thirty-six".