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28223733824 = 2611133379151
BaseRepresentation
bin11010010010010001…
…000000000001000000
32200211221221020020222
4122102101000001000
5430300233440244
620544340322212
72016260531156
oct322221000100
980757836228
1028223733824
1110a7361aa60
1255780a3368
13287a394b20
14151a58d3d6
15b02c0cbee
hex692440040

28223733824 has 112 divisors (see below), whose sum is σ = 66000270336. Its totient is φ = 11805696000.

The previous prime is 28223733793. The next prime is 28223733827. The reversal of 28223733824 is 42833732282.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (28223733827) 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, 3079649 + ... + 3088799.

It is an arithmetic number, because the mean of its divisors is an integer number (589288128).

Almost surely, 228223733824 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 28223733824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33000135168).

28223733824 is an abundant number, since it is smaller than the sum of its proper divisors (37776536512).

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

28223733824 is a wasteful number, since it uses less digits than its factorization.

28223733824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9524 (or 9514 counting only the distinct ones).

The product of its digits is 774144, while the sum is 44.

The spelling of 28223733824 in words is "twenty-eight billion, two hundred twenty-three million, seven hundred thirty-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 337 352 416 572 674 704 832 1144 1348 2288 2696 3707 4381 4576 5392 7414 8762 9151 9152 10784 14828 17524 18302 21568 29656 35048 36604 48191 59312 70096 73208 96382 100661 118624 118963 140192 146416 192764 201322 237248 237926 280384 292832 385528 402644 475852 585664 771056 805288 951704 1308593 1542112 1610576 1903408 2617186 3083887 3084224 3221152 3806816 5234372 6167774 6442304 7613632 10468744 12335548 20937488 24671096 33922757 40090531 41874976 49342192 67845514 80181062 83749952 98684384 135691028 160362124 197368768 271382056 320724248 440995841 542764112 641448496 881991682 1085528224 1282896992 1763983364 2171056448 2565793984 3527966728 7055933456 14111866912 28223733824