28380814560 has 384 divisors, whose sum is σ = 120203274240. Its totient is φ = 6105341952.

The previous prime is 28380814547. The next prime is 28380814589. The reversal of 28380814560 is 6541808382.

28380814560 is a `hidden beast` number, since 2 + 8 + 3 + 8 + 0 + 81 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 486477 + ... + 541683.

It is an arithmetic number, because the mean of its divisors is an integer number (313029360).

Almost surely, 2^28380814560 is an apocalyptic number.

28380814560 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 28380814560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60101637120).

28380814560 is an abundant number, since it is smaller than the sum of its proper divisors (91822459680).

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

28380814560 is a wasteful number, since it uses less digits than its factorization.

28380814560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55255 (or 55241 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 28380814560 in words is "twenty-eight billion, three hundred eighty million, eight hundred fourteen thousand, five hundred sixty".