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28193432281 = 72174832
BaseRepresentation
bin11010010000011101…
…011010001011011001
32200202211220202100121
4122100131122023121
5430220004313111
620541335033241
72015442135400
oct322035321331
980684822317
1028193432281
1110a58503a63
125569b0b821
132874015811
141516542637
15b00224871
hex69075a2d9

28193432281 has 45 divisors (see below), whose sum is σ = 35271086601. Its totient is φ = 22470254016.

The previous prime is 28193432257. The next prime is 28193432291. The reversal of 28193432281 is 18223439182.

The square root of 28193432281 is 167909.

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

It can be written as a sum of positive squares in 2 ways, for example, as 8749918681 + 19443513600 = 93541^2 + 139440^2 .

It is not a de Polignac number, because 28193432281 - 223 = 28185043673 is a prime.

It is a super-2 number, since 2×281934322812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28193432291) 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 44 ways as a sum of consecutive naturals, for example, 339679866 + ... + 339679948.

Almost surely, 228193432281 is an apocalyptic number.

28193432281 is the 167909-th square number.

28193432281 is the 83955-th centered octagonal number.

It is an amenable number.

28193432281 is a deficient number, since it is larger than the sum of its proper divisors (7077654320).

28193432281 is an frugal number, since it uses more digits than its factorization.

28193432281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 107 counting only the distinct ones).

The product of its digits is 165888, while the sum is 43.

The spelling of 28193432281 in words is "twenty-eight billion, one hundred ninety-three million, four hundred thirty-two thousand, two hundred eighty-one".

Divisors: 1 7 17 49 83 119 289 581 833 1411 2023 4067 4913 6889 9877 14161 23987 34391 48223 69139 83521 117113 167909 240737 337561 407779 584647 819791 1175363 1990921 2854453 4092529 5738537 6932243 13936447 19981171 33845657 48525701 97555129 236919599 339679907 575376169 1658437193 4027633183 28193432281