28448640 has 192 divisors, whose sum is σ = 107406000. Its totient is φ = 6881280.

The previous prime is 28448627. The next prime is 28448653. The reversal of 28448640 is 4684482.

28448640 is a `hidden beast` number, since 2 + 8 + 4 + 4 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (28448627) and next prime (28448653).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 28448595 and 28448604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63136 + ... + 63584.

Almost surely, 2^28448640 is an apocalyptic number.

28448640 is a gapful number since it is divisible by the number (20) 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 28448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53703000).

28448640 is an abundant number, since it is smaller than the sum of its proper divisors (78957360).

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

28448640 is a wasteful number, since it uses less digits than its factorization.

28448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 28448640 is about 5333.7266521636. The cubic root of 28448640 is about 305.2721390853.

The spelling of 28448640 in words is "twenty-eight million, four hundred forty-eight thousand, six hundred forty".