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28478274942016 = 26172392392
BaseRepresentation
bin1100111100110100111010…
…11101100011010001000000
310201211111101221112022211101
412132122131131203101000
512213042001341121031
6140322423334024144
75666326125665164
oct636323535432100
9121744357468741
1028478274942016
11908a628861099
12323b3447a8054
1312b764a13a063
147064da6acca4
15345bba510361
hex19e69d763440

28478274942016 has 63 divisors (see below), whose sum is σ = 60032858957029. Its totient is φ = 13401199612928.

The previous prime is 28478274941993. The next prime is 28478274942041. The reversal of 28478274942016 is 61024947287482.

It is a happy number.

The square root of 28478274942016 is 5336504.

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., 22171667342400 + 6306607599616 = 4708680^2 + 2511296^2 .

It is a super-2 number, since 2×284782749420162 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 725744925 + ... + 725784163.

Almost surely, 228478274942016 is an apocalyptic number.

28478274942016 is the 5336504-th square number.

It is an amenable number.

28478274942016 is an abundant number, since it is smaller than the sum of its proper divisors (31554584015013).

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

28478274942016 is an frugal number, since it uses more digits than its factorization.

28478274942016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78524 (or 39258 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 64.

28478274942016 divided by its sum of digits (64) gives a square (444973045969 = 6670632).

The spelling of 28478274942016 in words is "twenty-eight trillion, four hundred seventy-eight billion, two hundred seventy-four million, nine hundred forty-two thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 4624 9248 18496 39239 78478 156956 313912 627824 667063 1255648 1334126 2511296 2668252 5336504 10673008 11340071 21346016 22680142 42692032 45360284 90720568 181441136 362882272 725764544 1539699121 3079398242 6158796484 12317592968 24635185936 26174885057 49270371872 52349770114 98540743744 104699540228 209399080456 418798160912 444973045969 837596321824 889946091938 1675192643648 1779892183876 3559784367752 7119568735504 14239137471008 28478274942016