28197617760 has 288 divisors, whose sum is σ = 104273271648. Its totient is φ = 6897623040.

The previous prime is 28197617743. The next prime is 28197617797. The reversal of 28197617760 is 6771679182.

28197617760 is a `hidden beast` number, since 2 + 8 + 19 + 7 + 617 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 28197617697 and 28197617706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3046740 + ... + 3055980.

It is an arithmetic number, because the mean of its divisors is an integer number (362059971).

Almost surely, 2^28197617760 is an apocalyptic number.

28197617760 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 28197617760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52136635824).

28197617760 is an abundant number, since it is smaller than the sum of its proper divisors (76075653888).

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

28197617760 is a wasteful number, since it uses less digits than its factorization.

28197617760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9438 (or 9427 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 28197617760 in words is "twenty-eight billion, one hundred ninety-seven million, six hundred seventeen thousand, seven hundred sixty".