28758620160 has 768 divisors, whose sum is σ = 108972864000. Its totient is φ = 7184056320.

The previous prime is 28758620159. The next prime is 28758620183. The reversal of 28758620160 is 6102685782.

28758620160 is a `hidden beast` number, since 2 + 8 + 7 + 5 + 8 + 620 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 487434211 + ... + 487434269.

It is an arithmetic number, because the mean of its divisors is an integer number (141891750).

Almost surely, 2^28758620160 is an apocalyptic number.

28758620160 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 28758620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54486432000).

28758620160 is an abundant number, since it is smaller than the sum of its proper divisors (80214243840).

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

28758620160 is a wasteful number, since it uses less digits than its factorization.

28758620160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 28758620160 in words is "twenty-eight billion, seven hundred fifty-eight million, six hundred twenty thousand, one hundred sixty".