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28821742632 = 23321037615107
BaseRepresentation
bin11010110101111010…
…001110010000101000
32202101122012020010100
4122311322032100220
5433011331231012
621123541545400
72040141525114
oct326572162050
982348166110
1028821742632
1111250138911
125704415260
1329442442a7
141575b78744
15b3a4858dc
hex6b5e8e428

28821742632 has 96 divisors (see below), whose sum is σ = 78935762880. Its totient is φ = 9499610880.

The previous prime is 28821742603. The next prime is 28821742633. The reversal of 28821742632 is 23624712882.

28821742632 is a `hidden beast` number, since 2 + 8 + 8 + 2 + 1 + 7 + 4 + 2 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (28821742633) 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 23 ways as a sum of consecutive naturals, for example, 5641023 + ... + 5646129.

It is an arithmetic number, because the mean of its divisors is an integer number (822247530).

Almost surely, 228821742632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28821742632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39467881440).

28821742632 is an abundant number, since it is smaller than the sum of its proper divisors (50114020248).

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

28821742632 is a wasteful number, since it uses less digits than its factorization.

28821742632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5983 (or 5976 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 28821742632 in words is "twenty-eight billion, eight hundred twenty-one million, seven hundred forty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 761 824 927 1236 1522 1854 2283 2472 3044 3708 4566 5107 6088 6849 7416 9132 10214 13698 15321 18264 20428 27396 30642 40856 45963 54792 61284 78383 91926 122568 156766 183852 235149 313532 367704 470298 526021 627064 705447 940596 1052042 1410894 1578063 1881192 2104084 2821788 3156126 3886427 4208168 4734189 5643576 6312252 7772854 9468378 11659281 12624504 15545708 18936756 23318562 31091416 34977843 37873512 46637124 69955686 93274248 139911372 279822744 400301981 800603962 1200905943 1601207924 2401811886 3202415848 3602717829 4803623772 7205435658 9607247544 14410871316 28821742632