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28315853568 = 283271917093
BaseRepresentation
bin11010010111110000…
…011010001100000000
32201002101021101210100
4122113300122030000
5430442324303233
621001431002400
72021456532642
oct322760321400
981071241710
1028315853568
1111010619982
1255a2b09400
1328934a9852
1415288cc892
15b0ad57813
hex697c1a300

28315853568 has 108 divisors (see below), whose sum is σ = 81759918240. Its totient is φ = 9424939008.

The previous prime is 28315853563. The next prime is 28315853593. The reversal of 28315853568 is 86535851382.

It is a happy number.

28315853568 is a `hidden beast` number, since 2 + 8 + 3 + 1 + 585 + 3 + 56 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (28315853563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1648030 + ... + 1665122.

It is an arithmetic number, because the mean of its divisors is an integer number (757036280).

Almost surely, 228315853568 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 28315853568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40879959120).

28315853568 is an abundant number, since it is smaller than the sum of its proper divisors (53444064672).

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

28315853568 is a wasteful number, since it uses less digits than its factorization.

28315853568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17834 (or 17817 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The spelling of 28315853568 in words is "twenty-eight billion, three hundred fifteen million, eight hundred fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 719 768 1152 1438 2157 2304 2876 4314 5752 6471 8628 11504 12942 17093 17256 23008 25884 34186 34512 46016 51279 51768 68372 69024 92032 102558 103536 136744 138048 153837 184064 205116 207072 273488 276096 307674 410232 414144 546976 552192 615348 820464 828288 1093952 1230696 1640928 1656576 2187904 2461392 3281856 4375808 4922784 6563712 9845568 12289867 13127424 19691136 24579734 36869601 39382272 49159468 73739202 98318936 110608803 147478404 196637872 221217606 294956808 393275744 442435212 589913616 786551488 884870424 1179827232 1573102976 1769740848 2359654464 3146205952 3539481696 4719308928 7078963392 9438617856 14157926784 28315853568