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28090095201 = 32722323472
BaseRepresentation
bin11010001010010011…
…001101011001100001
32200111122110200112100
4122022103031121201
5430012031021301
620523204121013
72013045604200
oct321223153141
980448420470
1028090095201
1110a05143313
12553b396169
1328587a410c
141506923237
15ae6111286
hex68a4cd661

28090095201 has 81 divisors (see below), whose sum is σ = 49482958161. Its totient is φ = 15309345744.

The previous prime is 28090095199. The next prime is 28090095203. The reversal of 28090095201 is 10259009082.

The square root of 28090095201 is 167601.

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

28090095201 is a `hidden beast` number, since 280 + 90 + 0 + 95 + 201 = 666.

It is an interprime number because it is at equal distance from previous prime (28090095199) and next prime (28090095203).

It is not a de Polignac number, because 28090095201 - 21 = 28090095199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (28090095203) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 80951110 + ... + 80951456.

Almost surely, 228090095201 is an apocalyptic number.

28090095201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

28090095201 is the 167601-st square number.

28090095201 is the 83801-st centered octagonal number.

It is an amenable number.

28090095201 is a deficient number, since it is larger than the sum of its proper divisors (21392862960).

28090095201 is an equidigital number, since it uses as much as digits as its factorization.

28090095201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Multiplying 28090095201 by its sum of digits (36), we get a square (1011243427236 = 10056062).

The spelling of 28090095201 in words is "twenty-eight billion, ninety million, ninety-five thousand, two hundred one".

Divisors: 1 3 7 9 21 23 49 63 69 147 161 207 347 441 483 529 1041 1127 1449 1587 2429 3123 3381 3703 4761 7287 7981 10143 11109 17003 21861 23943 25921 33327 51009 55867 71829 77763 120409 153027 167601 183563 233289 361227 391069 502803 550689 842863 1083681 1173207 1284941 1652067 2528589 2769407 3519621 3854823 5900041 7585767 8308221 8994587 11564469 17700123 19385849 24924663 26983761 53100369 58157547 63696361 80951283 135700943 174472641 191089083 407102829 445874527 573267249 1221308487 1337623581 3121121689 4012870743 9363365067 28090095201