28817313566976 has 405 divisors, whose sum is σ = 94477679148853. Its totient is φ = 8729942538240.

The previous prime is 28817313566959. The next prime is 28817313566989. The reversal of 28817313566976 is 67966531371882.

It is a happy number.

The square root of 28817313566976 is 5368176.

It is a perfect power (a square), and thus also a powerful number.

28817313566976 is a `hidden beast` number, since 2 + 8 + 81 + 73 + 1 + 356 + 69 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27973267128576 + 844046438400 = 5288976^2 + 918720^2 .

It is a super-2 number, since 2×28817313566976² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8503189090 + ... + 8503192478.

Almost surely, 2^{28817313566976} is an apocalyptic number.

28817313566976 is the 5368176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28817313566976

28817313566976 is an abundant number, since it is smaller than the sum of its proper divisors (65660365581877).

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

28817313566976 is an frugal number, since it uses more digits than its factorization.

28817313566976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6828 (or 3405 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 28817313566976 in words is "twenty-eight trillion, eight hundred seventeen billion, three hundred thirteen million, five hundred sixty-six thousand, nine hundred seventy-six".