28169404560 has 640 divisors, whose sum is σ = 116306841600. Its totient is φ = 6185963520.

The previous prime is 28169404553. The next prime is 28169404573. The reversal of 28169404560 is 6540496182.

28169404560 is a `hidden beast` number, since 2 + 81 + 6 + 9 + 4 + 0 + 4 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10381764 + ... + 10384476.

It is an arithmetic number, because the mean of its divisors is an integer number (181729440).

Almost surely, 2^28169404560 is an apocalyptic number.

28169404560 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 28169404560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58153420800).

28169404560 is an abundant number, since it is smaller than the sum of its proper divisors (88137437040).

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

28169404560 is a wasteful number, since it uses less digits than its factorization.

28169404560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2776 counting only the distinct ones).

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

It can be divided in two parts, 2816940 and 4560, that added together give a triangular number (2821500 = T₂₃₇₅).

The spelling of 28169404560 in words is "twenty-eight billion, one hundred sixty-nine million, four hundred four thousand, five hundred sixty".