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28247303136 = 2531328379979
BaseRepresentation
bin11010010011101010…
…111010001111100000
32200220121021200021110
4122103222322033200
5430322302200021
620550541423320
72016665054313
oct322352721740
980817250243
1028247303136
1110a85958a28
125583b6ab40
132882227a70
14151d76697a
15b04d16476
hex693aba3e0

28247303136 has 96 divisors (see below), whose sum is σ = 80136120960. Its totient is φ = 8660657664.

The previous prime is 28247303047. The next prime is 28247303143. The reversal of 28247303136 is 63130374282.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 28247303094 and 28247303103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313195 + ... + 393173.

It is an arithmetic number, because the mean of its divisors is an integer number (834751260).

Almost surely, 228247303136 is an apocalyptic number.

28247303136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28247303136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40068060480).

28247303136 is an abundant number, since it is smaller than the sum of its proper divisors (51888817824).

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

28247303136 is a wasteful number, since it uses less digits than its factorization.

28247303136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80288 (or 80280 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 28247303136 in words is "twenty-eight billion, two hundred forty-seven million, three hundred three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 283 312 416 566 624 849 1132 1248 1698 2264 3396 3679 4528 6792 7358 9056 11037 13584 14716 22074 27168 29432 44148 58864 79979 88296 117728 159958 176592 239937 319916 353184 479874 639832 959748 1039727 1279664 1919496 2079454 2559328 3119181 3838992 4158908 6238362 7677984 8317816 12476724 16635632 22634057 24953448 33271264 45268114 49906896 67902171 90536228 99813792 135804342 181072456 271608684 294242741 362144912 543217368 588485482 724289824 882728223 1086434736 1176970964 1765456446 2172869472 2353941928 3530912892 4707883856 7061825784 9415767712 14123651568 28247303136