28867335372288 has 960 divisors, whose sum is σ = 104011542835200. Its totient is φ = 7981385932800.

The previous prime is 28867335372259. The next prime is 28867335372361. The reversal of 28867335372288 is 88227353376882.

28867335372288 is a `hidden beast` number, since 2 + 8 + 8 + 6 + 7 + 3 + 3 + 537 + 2 + 2 + 88 = 666.

It is a super-2 number, since 2×28867335372288² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1322904418 + ... + 1322926238.

It is an arithmetic number, because the mean of its divisors is an integer number (108345357120).

Almost surely, 2^{28867335372288} is an apocalyptic number.

28867335372288 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 28867335372288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52005771417600).

28867335372288 is an abundant number, since it is smaller than the sum of its proper divisors (75144207462912).

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

28867335372288 is an frugal number, since it uses more digits than its factorization.

28867335372288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21906 (or 21864 counting only the distinct ones).

The product of its digits is 1300561920, while the sum is 72.

The spelling of 28867335372288 in words is "twenty-eight trillion, eight hundred sixty-seven billion, three hundred thirty-five million, three hundred seventy-two thousand, two hundred eighty-eight".