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28934564778 = 2327255758897
BaseRepresentation
bin11010111100101000…
…100110101110101010
32202200111111012000100
4122330220212232222
5433224222033103
621143052050230
72043011512500
oct327450465652
982614435010
1028934564778
11112a8897859
125736163976
132961727062
141586b46670
15b4531e5a3
hex6bca26baa

28934564778 has 72 divisors (see below), whose sum is σ = 73059081732. Its totient is φ = 8252036352.

The previous prime is 28934564749. The next prime is 28934564783. The reversal of 28934564778 is 87746543982.

28934564778 is a `hidden beast` number, since 2 + 89 + 34 + 56 + 477 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23584666329 + 5349898449 = 153573^2 + 73143^2 .

It is a super-3 number, since 3×289345647783 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 461826 + ... + 520722.

Almost surely, 228934564778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28934564778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36529540866).

28934564778 is an abundant number, since it is smaller than the sum of its proper divisors (44124516954).

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

28934564778 is a wasteful number, since it uses less digits than its factorization.

28934564778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59476 (or 59466 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 28934564778 in words is "twenty-eight billion, nine hundred thirty-four million, five hundred sixty-four thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 557 882 1114 1671 3342 3899 5013 7798 10026 11697 23394 27293 35091 54586 58897 70182 81879 117794 163758 176691 245637 353382 412279 491274 530073 824558 1060146 1236837 2473674 2885953 3710511 5771906 7421022 8657859 17315718 25973577 32805629 51947154 65611258 98416887 196833774 229639403 295250661 459278806 590501322 688918209 1377836418 1607475821 2066754627 3214951642 4133509254 4822427463 9644854926 14467282389 28934564778