28431936 has 84 divisors (see below), whose sum is σ = 87786972. Its totient is φ = 8745984.

The previous prime is 28431913. The next prime is 28431937. The reversal of 28431936 is 63913482.

It can be written as a sum of positive squares in 2 ways, for example, as 1806336 + 26625600 = 1344^2 + 5160^2 .

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 28431936.

It is not an unprimeable number, because it can be changed into a prime (28431937) 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 11 ways as a sum of consecutive naturals, for example, 5590 + ... + 9386.

It is an arithmetic number, because the mean of its divisors is an integer number (1045083).

Almost surely, 2^28431936 is an apocalyptic number.

28431936 is a gapful number since it is divisible by the number (26) 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 28431936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43893486).

28431936 is an abundant number, since it is smaller than the sum of its proper divisors (59355036).

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

28431936 is a wasteful number, since it uses less digits than its factorization.

28431936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828 (or 3815 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 28431936 is about 5332.1605377183. The cubic root of 28431936 is about 305.2123791792.

The spelling of 28431936 in words is "twenty-eight million, four hundred thirty-one thousand, nine hundred thirty-six".