28266480 has 240 divisors, whose sum is σ = 107243136. Its totient is φ = 6612480.

The previous prime is 28266473. The next prime is 28266493. The reversal of 28266480 is 8466282.

28266480 is a `hidden beast` number, since 2 + 8 + 2 + 6 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340519 + ... + 340601.

Almost surely, 2^28266480 is an apocalyptic number.

28266480 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 28266480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53621568).

28266480 is an abundant number, since it is smaller than the sum of its proper divisors (78976656).

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

28266480 is a wasteful number, since it uses less digits than its factorization.

28266480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 28266480 is about 5316.6229883263. The cubic root of 28266480 is about 304.6191789219.

The spelling of 28266480 in words is "twenty-eight million, two hundred sixty-six thousand, four hundred eighty".