28917666288 has 120 divisors (see below), whose sum is σ = 92535248000. Its totient is φ = 8258205312.

The previous prime is 28917666259. The next prime is 28917666289. The reversal of 28917666288 is 88266671982.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28917666289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2553663 + ... + 2564961.

Almost surely, 2^28917666288 is an apocalyptic number.

28917666288 is a gapful number since it is divisible by the number (28) 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 28917666288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46267624000).

28917666288 is an abundant number, since it is smaller than the sum of its proper divisors (63617581712).

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

28917666288 is a wasteful number, since it uses less digits than its factorization.

28917666288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13859 (or 13850 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 28917666288 in words is "twenty-eight billion, nine hundred seventeen million, six hundred sixty-six thousand, two hundred eighty-eight".