28686736 has 45 divisors (see below), whose sum is σ = 60774849. Its totient is φ = 13111488.

The previous prime is 28686733. The next prime is 28686767. The reversal of 28686736 is 63768682.

28686736 = 1³ + 2³ + ... + 103³.

The square root of 28686736 is 5356.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4243600 + 24443136 = 2060^2 + 4944^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28686733) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 278461 + ... + 278563.

Almost surely, 2^28686736 is an apocalyptic number.

28686736 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

28686736 is the 5356-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28686736

28686736 is an abundant number, since it is smaller than the sum of its proper divisors (32088113).

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

28686736 is a wasteful number, since it uses less digits than its factorization.

28686736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 118 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The cubic root of 28686736 is about 306.1214150733.

It can be divided in two parts, 286867 and 36, that added together give a triangular number (286903 = T₇₅₇).

The spelling of 28686736 in words is "twenty-eight million, six hundred eighty-six thousand, seven hundred thirty-six".