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28884002251104 = 253472111389107167
BaseRepresentation
bin1101001000101000101001…
…01100011010000101100000
310210021021122210001010220000
412210110110230122011200
512241213414034013404
6141233043310220000
76040541334135300
oct644242454320540
9123237583033800
1028884002251104
1192267002a2590
1232a5ab5ab4600
1313169991b8590
1471bdc9379600
15351514b29339
hex1a4514b1a160

28884002251104 has 2880 divisors, whose sum is σ = 119202565870080. Its totient is φ = 6742809722880.

The previous prime is 28884002251079. The next prime is 28884002251109. The reversal of 28884002251104 is 40115220048882.

It is a happy number.

28884002251104 is a `hidden beast` number, since 2 + 8 + 8 + 8 + 400 + 225 + 1 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28884002251104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28884002251109) 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 479 ways as a sum of consecutive naturals, for example, 172958097229 + ... + 172958097395.

It is an arithmetic number, because the mean of its divisors is an integer number (41389779816).

Almost surely, 228884002251104 is an apocalyptic number.

28884002251104 is a gapful number since it is divisible by the number (24) 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 28884002251104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59601282935040).

28884002251104 is an abundant number, since it is smaller than the sum of its proper divisors (90318563618976).

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

28884002251104 is a wasteful number, since it uses less digits than its factorization.

28884002251104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

Adding to 28884002251104 its reverse (40115220048882), we get a palindrome (68999222299986).

The spelling of 28884002251104 in words is "twenty-eight trillion, eight hundred eighty-four billion, two million, two hundred fifty-one thousand, one hundred four".