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28028117056 = 2617212312
BaseRepresentation
bin11010000110100110…
…110010000001000000
32200100022211212111111
4122012212302001000
5424400144221211
620513111453104
72011364030662
oct320646620100
980308755444
1028028117056
1110983161205
125522687194
1328489b3964
1414dc5cc532
15ae096c421
hex6869b2040

28028117056 has 63 divisors (see below), whose sum is σ = 59130444477. Its totient is φ = 13178987520.

The previous prime is 28028116979. The next prime is 28028117071. The reversal of 28028117056 is 65071182082.

The square root of 28028117056 is 167416.

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

It can be written as a sum of positive squares in only one way, i.e., 21821198400 + 6206918656 = 147720^2 + 78784^2 .

It is a super-4 number, since 4×280281170564 (a number of 43 digits) contains 4444 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22767961 + ... + 22769191.

Almost surely, 228028117056 is an apocalyptic number.

28028117056 is the 167416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28028117056

28028117056 is an abundant number, since it is smaller than the sum of its proper divisors (31102327421).

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

28028117056 is an frugal number, since it uses more digits than its factorization.

28028117056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The spelling of 28028117056 in words is "twenty-eight billion, twenty-eight million, one hundred seventeen thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 1231 2312 2462 4624 4924 9248 9848 18496 19696 20927 39392 41854 78784 83708 167416 334832 355759 669664 711518 1339328 1423036 1515361 2846072 3030722 5692144 6061444 11384288 12122888 22768576 24245776 25761137 48491552 51522274 96983104 103044548 206089096 412178192 437939329 824356384 875878658 1648712768 1751757316 3503514632 7007029264 14014058528 28028117056