28687772160 has 640 divisors, whose sum is σ = 106913157120. Its totient is φ = 7284326400.

The previous prime is 28687772129. The next prime is 28687772171. The reversal of 28687772160 is 6127778682.

It is a happy number.

28687772160 is a `hidden beast` number, since 286 + 87 + 77 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28687772097 and 28687772106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150197665 + ... + 150197855.

It is an arithmetic number, because the mean of its divisors is an integer number (167051808).

Almost surely, 2^28687772160 is an apocalyptic number.

28687772160 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 28687772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53456578560).

28687772160 is an abundant number, since it is smaller than the sum of its proper divisors (78225384960).

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

28687772160 is a wasteful number, since it uses less digits than its factorization.

28687772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 28687772160 in words is "twenty-eight billion, six hundred eighty-seven million, seven hundred seventy-two thousand, one hundred sixty".