28717688160 has 480 divisors, whose sum is σ = 117323458560. Its totient is φ = 6479336448.

The previous prime is 28717688119. The next prime is 28717688171. The reversal of 28717688160 is 6188671782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×28717688160² (a number of 22 digits) contains 22 as substring.

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 = 28717688097 and 28717688106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7164877 + ... + 7168883.

It is an arithmetic number, because the mean of its divisors is an integer number (244423872).

Almost surely, 2^28717688160 is an apocalyptic number.

28717688160 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 28717688160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58661729280).

28717688160 is an abundant number, since it is smaller than the sum of its proper divisors (88605770400).

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

28717688160 is a wasteful number, since it uses less digits than its factorization.

28717688160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 28717688160 in words is "twenty-eight billion, seven hundred seventeen million, six hundred eighty-eight thousand, one hundred sixty".