28717182138960 has 1280 divisors, whose sum is σ = 120092153610240. Its totient is φ = 6168545280000.

The previous prime is 28717182138947. The next prime is 28717182138977. The reversal of 28717182138960 is 6983128171782.

28717182138960 is a `hidden beast` number, since 2 + 8 + 7 + 17 + 182 + 1 + 389 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4285503610 + ... + 4285510310.

It is an arithmetic number, because the mean of its divisors is an integer number (93821995008).

Almost surely, 2^{28717182138960} is an apocalyptic number.

28717182138960 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 28717182138960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60046076805120).

28717182138960 is an abundant number, since it is smaller than the sum of its proper divisors (91374971471280).

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

28717182138960 is a wasteful number, since it uses less digits than its factorization.

28717182138960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7025 (or 7013 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 28717182138960 in words is "twenty-eight trillion, seven hundred seventeen billion, one hundred eighty-two million, one hundred thirty-eight thousand, nine hundred sixty".