28647360 has 336 divisors, whose sum is σ = 118872000. Its totient is φ = 6322176.

The previous prime is 28647349. The next prime is 28647371. The reversal of 28647360 is 6374682.

28647360 is a `hidden beast` number, since 2 + 8 + 647 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28647349) and next prime (28647371).

It is a tau number, because it is divible by the number of its divisors (336).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987826 + ... + 987854.

Almost surely, 2^28647360 is an apocalyptic number.

28647360 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 28647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59436000).

28647360 is an abundant number, since it is smaller than the sum of its proper divisors (90224640).

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

28647360 is a wasteful number, since it uses less digits than its factorization.

28647360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 28647360 is about 5352.3228602169. The cubic root of 28647360 is about 305.9812881035.

The spelling of 28647360 in words is "twenty-eight million, six hundred forty-seven thousand, three hundred sixty".