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28398805632 = 273311372719
BaseRepresentation
bin11010011100101100…
…110110001010000000
32201022011100210122000
4122130230312022000
5431130043240012
621013552544000
72023514602461
oct323454661200
981264323560
1028398805632
1111053426aaa
125606852000
1328a7731802
141535922d68
15b13290ddc
hex69cb36280

28398805632 has 128 divisors (see below), whose sum is σ = 84558816000. Its totient is φ = 9382367232.

The previous prime is 28398805627. The next prime is 28398805679. The reversal of 28398805632 is 23650889382.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×283988056322 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354169 + ... + 426887.

It is an arithmetic number, because the mean of its divisors is an integer number (660615750).

Almost surely, 228398805632 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 28398805632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42279408000).

28398805632 is an abundant number, since it is smaller than the sum of its proper divisors (56160010368).

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

28398805632 is a wasteful number, since it uses less digits than its factorization.

28398805632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72855 (or 72837 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 28398805632 in words is "twenty-eight billion, three hundred ninety-eight million, eight hundred five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 113 128 144 192 216 226 288 339 384 432 452 576 678 864 904 1017 1152 1356 1728 1808 2034 2712 3051 3456 3616 4068 5424 6102 7232 8136 10848 12204 14464 16272 21696 24408 32544 43392 48816 65088 72719 97632 130176 145438 195264 218157 290876 390528 436314 581752 654471 872628 1163504 1308942 1745256 1963413 2327008 2617884 3490512 3926826 4654016 5235768 6981024 7853652 8217247 9308032 10471536 13962048 15707304 16434494 20943072 24651741 27924096 31414608 32868988 41886144 49303482 62829216 65737976 73955223 83772288 98606964 125658432 131475952 147910446 197213928 221865669 251316864 262951904 295820892 394427856 443731338 525903808 591641784 788855712 887462676 1051807616 1183283568 1577711424 1774925352 2366567136 3155422848 3549850704 4733134272 7099701408 9466268544 14199402816 28398805632