28380616560 has 240 divisors, whose sum is σ = 100789049088. Its totient is φ = 7145164800.

The previous prime is 28380616547. The next prime is 28380616571. The reversal of 28380616560 is 6561608382.

28380616560 is a `hidden beast` number, since 2 + 8 + 3 + 80 + 6 + 1 + 6 + 560 = 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 (45).

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, 899614 + ... + 930626.

Almost surely, 2^28380616560 is an apocalyptic number.

28380616560 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 28380616560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50394524544).

28380616560 is an abundant number, since it is smaller than the sum of its proper divisors (72408432528).

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

28380616560 is a wasteful number, since it uses less digits than its factorization.

28380616560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31104 (or 31095 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 28380616560 in words is "twenty-eight billion, three hundred eighty million, six hundred sixteen thousand, five hundred sixty".