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28388343506544 = 2434779313126551
BaseRepresentation
bin1100111010001101011010…
…01000010110011001110000
310201111220021110200001120000
412131012231020112121300
512210103311414202134
6140213231443150000
75656663421256210
oct635065510263160
9121456243601500
1028388343506544
1190554799105aa
123225a26975300
1312ac0175a3108
1470200893c240
153436a51c8e99
hex19d1ad216670

28388343506544 has 400 divisors, whose sum is σ = 95395019089920. Its totient is φ = 7982636313600.

The previous prime is 28388343506489. The next prime is 28388343506561. The reversal of 28388343506544 is 44560534388382.

28388343506544 is a `hidden beast` number, since 2 + 8 + 3 + 8 + 8 + 34 + 3 + 50 + 6 + 544 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 224260069 + ... + 224386619.

Almost surely, 228388343506544 is an apocalyptic number.

28388343506544 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 28388343506544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47697509544960).

28388343506544 is an abundant number, since it is smaller than the sum of its proper divisors (67006675583376).

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

28388343506544 is a wasteful number, since it uses less digits than its factorization.

28388343506544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126970 (or 126955 counting only the distinct ones).

The product of its (nonzero) digits is 265420800, while the sum is 63.

The spelling of 28388343506544 in words is "twenty-eight trillion, three hundred eighty-eight billion, three hundred forty-three million, five hundred six thousand, five hundred forty-four".