28681120 has 48 divisors (see below), whose sum is σ = 72976680. Its totient is φ = 10589184.

The previous prime is 28681117. The next prime is 28681123. The reversal of 28681120 is 2118682.

28681120 = 632² + 633² + ... + 696².

It is an interprime number because it is at equal distance from previous prime (28681117) and next prime (28681123).

It can be written as a sum of positive squares in 4 ways, for example, as 25280784 + 3400336 = 5028^2 + 1844^2 .

It is not an unprimeable number, because it can be changed into a prime (28681123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4815 + ... + 8974.

Almost surely, 2^28681120 is an apocalyptic number.

28681120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28681120 is an abundant number, since it is smaller than the sum of its proper divisors (44295560).

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

28681120 is a wasteful number, since it uses less digits than its factorization.

28681120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13817 (or 13809 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 28681120 is about 5355.4757024937. The cubic root of 28681120 is about 306.1014373146.

It can be divided in two parts, 286 and 81120, that added together give a triangular number (81406 = T₄₀₃).

The spelling of 28681120 in words is "twenty-eight million, six hundred eighty-one thousand, one hundred twenty".