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28538022528 = 2732239103651
BaseRepresentation
bin11010100100111111…
…111010101010000000
32201122212022202022100
4122210333322222000
5431421213210103
621035444510400
72030125121601
oct324477725200
981585282270
1028538022528
1111114a73794
1256453ab400
1328ca526582
14154a201da8
15b205e05a3
hex6a4ffaa80

28538022528 has 96 divisors (see below), whose sum is σ = 82465531200. Its totient is φ = 9472780800.

The previous prime is 28538022521. The next prime is 28538022529. The reversal of 28538022528 is 82522083582.

28538022528 is a `hidden beast` number, since 28 + 5 + 3 + 80 + 22 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (28538022521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223503 + ... + 327153.

It is an arithmetic number, because the mean of its divisors is an integer number (859015950).

Almost surely, 228538022528 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 28538022528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41232765600).

28538022528 is an abundant number, since it is smaller than the sum of its proper divisors (53927508672).

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

28538022528 is a wasteful number, since it uses less digits than its factorization.

28538022528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103910 (or 103895 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 28538022528 in words is "twenty-eight billion, five hundred thirty-eight million, twenty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 239 288 384 478 576 717 956 1152 1434 1912 2151 2868 3824 4302 5736 7648 8604 11472 15296 17208 22944 30592 34416 45888 68832 91776 103651 137664 207302 275328 310953 414604 621906 829208 932859 1243812 1658416 1865718 2487624 3316832 3731436 4975248 6633664 7462872 9950496 13267328 14925744 19900992 24772589 29851488 39801984 49545178 59702976 74317767 99090356 119405952 148635534 198180712 222953301 297271068 396361424 445906602 594542136 792722848 891813204 1189084272 1585445696 1783626408 2378168544 3170891392 3567252816 4756337088 7134505632 9512674176 14269011264 28538022528