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28288163328 = 293137179751
BaseRepresentation
bin11010010110000110…
…110001111000000000
32201000110011120220220
4122112012301320000
5430413232211303
620555001303040
72021002264245
oct322606617000
981013146826
1028288163328
1110aa6a26887
125595794a80
13288a832ca9
141524d615cc
15b086d8053
hex6961b1e00

28288163328 has 160 divisors (see below), whose sum is σ = 76437250560. Its totient is φ = 9295872000.

The previous prime is 28288163231. The next prime is 28288163329. The reversal of 28288163328 is 82336188282.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28288163329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37666953 + ... + 37667703.

It is an arithmetic number, because the mean of its divisors is an integer number (477732816).

Almost surely, 228288163328 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 28288163328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38218625280).

28288163328 is an abundant number, since it is smaller than the sum of its proper divisors (48149087232).

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

28288163328 is a wasteful number, since it uses less digits than its factorization.

28288163328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1072 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The spelling of 28288163328 in words is "twenty-eight billion, two hundred eighty-eight million, one hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 179 192 256 274 358 384 411 512 537 548 716 751 768 822 1074 1096 1432 1502 1536 1644 2148 2192 2253 2864 3004 3288 4296 4384 4506 5728 6008 6576 8592 8768 9012 11456 12016 13152 17184 17536 18024 22912 24032 24523 26304 34368 35072 36048 45824 48064 49046 52608 68736 70144 72096 73569 91648 96128 98092 102887 105216 134429 137472 144192 147138 192256 196184 205774 210432 268858 274944 288384 294276 308661 384512 392368 403287 411548 537716 576768 588552 617322 784736 806574 823096 1075432 1153536 1177104 1234644 1569472 1613148 1646192 2150864 2354208 2469288 3138944 3226296 3292384 4301728 4708416 4938576 6277888 6452592 6584768 8603456 9416832 9877152 12555776 12905184 13169536 17206912 18416773 18833664 19754304 25810368 26339072 34413824 36833546 37667328 39508608 51620736 52678144 55250319 68827648 73667092 79017216 103241472 110500638 147334184 158034432 206482944 221001276 294668368 442002552 589336736 884005104 1178673472 1768010208 2357346944 3536020416 4714693888 7072040832 9429387776 14144081664 28288163328