28488620160 has 1792 divisors, whose sum is σ = 139348581120. Its totient is φ = 5374771200.

The previous prime is 28488620143. The next prime is 28488620201. The reversal of 28488620160 is 6102688482.

28488620160 is a `hidden beast` number, since 2 + 8 + 4 + 8 + 8 + 620 + 16 + 0 = 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 (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 467026530 + ... + 467026590.

It is an arithmetic number, because the mean of its divisors is an integer number (77761485).

Almost surely, 2^28488620160 is an apocalyptic number.

28488620160 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 28488620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69674290560).

28488620160 is an abundant number, since it is smaller than the sum of its proper divisors (110859960960).

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

28488620160 is a wasteful number, since it uses less digits than its factorization.

28488620160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 28488620160 in words is "twenty-eight billion, four hundred eighty-eight million, six hundred twenty thousand, one hundred sixty".