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28463485752 = 23331379128311
BaseRepresentation
bin11010100000100011…
…100101001100111000
32201110200001220002000
4122200203211030320
5431243123021002
621024223141000
72025231431322
oct324043451470
981420056060
1028463485752
1111086994149
125624444760
1328b7c59a80
14154035c612
15b18cba61c
hex6a08e5338

28463485752 has 128 divisors (see below), whose sum is σ = 86225664000. Its totient is φ = 8647067520.

The previous prime is 28463485751. The next prime is 28463485759. The reversal of 28463485752 is 25758436482.

28463485752 is a `hidden beast` number, since 2 + 8 + 4 + 63 + 4 + 8 + 575 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28463485751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157677 + ... + 285987.

It is an arithmetic number, because the mean of its divisors is an integer number (673638000).

Almost surely, 228463485752 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 28463485752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43112832000).

28463485752 is an abundant number, since it is smaller than the sum of its proper divisors (57762178248).

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

28463485752 is a wasteful number, since it uses less digits than its factorization.

28463485752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128418 (or 128408 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The spelling of 28463485752 in words is "twenty-eight billion, four hundred sixty-three million, four hundred eighty-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 79 104 108 117 156 158 216 234 237 312 316 351 468 474 632 702 711 936 948 1027 1404 1422 1896 2054 2133 2808 2844 3081 4108 4266 5688 6162 8216 8532 9243 12324 17064 18486 24648 27729 36972 55458 73944 110916 128311 221832 256622 384933 513244 769866 1026488 1154799 1539732 1668043 2309598 3079464 3336086 3464397 4619196 5004129 6672172 6928794 9238392 10008258 10136569 13344344 13857588 15012387 20016516 20273138 27715176 30024774 30409707 40033032 40546276 45037161 60049548 60819414 81092552 90074322 91229121 120099096 121638828 131775397 180148644 182458242 243277656 263550794 273687363 360297288 364916484 395326191 527101588 547374726 729832968 790652382 1054203176 1094749452 1185978573 1581304764 2189498904 2371957146 3162609528 3557935719 4743914292 7115871438 9487828584 14231742876 28463485752