28761768 has 96 divisors (see below), whose sum is σ = 89856000. Its totient is φ = 8141184.

The previous prime is 28761751. The next prime is 28761779. The reversal of 28761768 is 86716782.

28761768 is a `hidden beast` number, since 28 + 7 + 617 + 6 + 8 = 666.

It is a Cunningham number, because it is equal to 5363²-1.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74905 + ... + 75287.

It is an arithmetic number, because the mean of its divisors is an integer number (936000).

Almost surely, 2^28761768 is an apocalyptic number.

28761768 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 28761768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44928000).

28761768 is an abundant number, since it is smaller than the sum of its proper divisors (61094232).

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

28761768 is a wasteful number, since it uses less digits than its factorization.

28761768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 544 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 28761768 is about 5362.9999067686. Note that the first 4 decimals coincide. The cubic root of 28761768 is about 306.3880761243.

The spelling of 28761768 in words is "twenty-eight million, seven hundred sixty-one thousand, seven hundred sixty-eight".