28496 has 20 divisors (see below), whose sum is σ = 59892. Its totient is φ = 13056.

The previous prime is 28493. The next prime is 28499. The reversal of 28496 is 69482.

It is an interprime number because it is at equal distance from previous prime (28493) and next prime (28499).

It can be written as a sum of positive squares in 2 ways, for example, as 10000 + 18496 = 100^2 + 136^2 .

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28496.

It is not an unprimeable number, because it can be changed into a prime (28493) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 140 + ... + 276.

2²⁸⁴⁹⁶ is an apocalyptic number.

28496 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 28496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29946).

28496 is an abundant number, since it is smaller than the sum of its proper divisors (31396).

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

28496 is a wasteful number, since it uses less digits than its factorization.

28496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 28496 is about 168.8075827681. The cubic root of 28496 is about 30.5441446219.

The spelling of 28496 in words is "twenty-eight thousand, four hundred ninety-six".