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28931288464 = 2413232712
BaseRepresentation
bin11010111100011100…
…000110110110010000
32202200021022201202101
4122330130012312100
5433222402212324
621142453530144
72042641615531
oct327434066620
982607281671
1028931288464
11112a6a5a261
125735043954
132960b4aa00
141586532688
15b44dc3944
hex6bc706d90

28931288464 has 45 divisors (see below), whose sum is σ = 60716490849. Its totient is φ = 13348820160.

The previous prime is 28931288459. The next prime is 28931288479. The reversal of 28931288464 is 46488213982.

The square root of 28931288464 is 170092.

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

It can be written as a sum of positive squares in only one way, i.e., 4279776400 + 24651512064 = 65420^2 + 157008^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 8843149 + ... + 8846419.

Almost surely, 228931288464 is an apocalyptic number.

28931288464 is the 170092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28931288464

28931288464 is an abundant number, since it is smaller than the sum of its proper divisors (31785202385).

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

28931288464 is an frugal number, since it uses more digits than its factorization.

28931288464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6576 (or 3286 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 55.

The spelling of 28931288464 in words is "twenty-eight billion, nine hundred thirty-one million, two hundred eighty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 3271 6542 13084 26168 42523 52336 85046 170092 340184 552799 680368 1105598 2211196 4422392 8844784 10699441 21398882 42797764 85595528 139092733 171191056 278185466 556370932 1112741864 1808205529 2225483728 3616411058 7232822116 14465644232 28931288464