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28828520448 = 2123721329127
BaseRepresentation
bin11010110110010100…
…000101000000000000
32202102002221120112120
4122312110011000000
5433020100123243
621124343124240
72040253244400
oct326624050000
982362846476
1028828520448
1111253a48112
125706743680
132945778330
141576a20800
15b3ad73c83
hex6b6505000

28828520448 has 624 divisors, whose sum is σ = 100399380480. Its totient is φ = 7283146752.

The previous prime is 28828520417. The next prime is 28828520467. The reversal of 28828520448 is 84402582882.

It is a tau number, because it is divible by the number of its divisors (624).

It is a self number, because there is not a number n which added to its sum of digits gives 28828520448.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226996161 + ... + 226996287.

Almost surely, 228828520448 is an apocalyptic number.

28828520448 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 28828520448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50199690240).

28828520448 is an abundant number, since it is smaller than the sum of its proper divisors (71570860032).

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

28828520448 is a wasteful number, since it uses less digits than its factorization.

28828520448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2621440, while the sum is 51.

The spelling of 28828520448 in words is "twenty-eight billion, eight hundred twenty-eight million, five hundred twenty thousand, four hundred forty-eight".