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28115944272 = 24321334743283
BaseRepresentation
bin11010001011110101…
…110100001101010000
32200120110002221210100
4122023311310031100
5430040140204042
620525530132400
72013511404003
oct321365641520
980513087710
1028115944272
1110a18799089
125547b81100
132860c54920
14150a13153a
15ae851a24c
hex68bd74350

28115944272 has 120 divisors (see below), whose sum is σ = 84984498144. Its totient is φ = 8625929472.

The previous prime is 28115944271. The next prime is 28115944273. The reversal of 28115944272 is 27244951182.

28115944272 is a `hidden beast` number, since 2 + 8 + 11 + 594 + 42 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (28115944271) and next prime (28115944273).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28115944271) 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 23 ways as a sum of consecutive naturals, for example, 627943 + ... + 671225.

Almost surely, 228115944272 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 28115944272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42492249072).

28115944272 is an abundant number, since it is smaller than the sum of its proper divisors (56868553872).

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

28115944272 is a wasteful number, since it uses less digits than its factorization.

28115944272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43657 (or 43648 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 28115944272 in words is "twenty-eight billion, one hundred fifteen million, nine hundred forty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 347 468 624 694 936 1041 1388 1872 2082 2776 3123 4164 4511 5552 6246 8328 9022 12492 13533 16656 18044 24984 27066 36088 40599 43283 49968 54132 72176 81198 86566 108264 129849 162396 173132 216528 259698 324792 346264 389547 519396 562679 649584 692528 779094 1038792 1125358 1558188 1688037 2077584 2250716 3116376 3376074 4501432 5064111 6232752 6752148 9002864 10128222 13504296 15019201 20256444 27008592 30038402 40512888 45057603 60076804 81025776 90115206 120153608 135172809 180230412 195249613 240307216 270345618 360460824 390499226 540691236 585748839 720921648 780998452 1081382472 1171497678 1561996904 1757246517 2162764944 2342995356 3123993808 3514493034 4685990712 7028986068 9371981424 14057972136 28115944272