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28078264602 = 236412411949
BaseRepresentation
bin11010001001100110…
…000101000100011010
32200110211012122000000
4122021212011010122
5430001013431402
620522102353430
72012543211513
oct321146050432
980424178000
1028078264602
11109a94a2863
12553742b876
1328561c126b
141505123a0a
15ae5075c1c
hex68998511a

28078264602 has 112 divisors (see below), whose sum is σ = 64989124200. Its totient is φ = 9088588800.

The previous prime is 28078264589. The next prime is 28078264603. The reversal of 28078264602 is 20646287082.

It can be written as a sum of positive squares in 4 ways, for example, as 24245292681 + 3832971921 = 155709^2 + 61911^2 .

It is not an unprimeable number, because it can be changed into a prime (28078264603) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14405524 + ... + 14407472.

Almost surely, 228078264602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28078264602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32494562100).

28078264602 is an abundant number, since it is smaller than the sum of its proper divisors (36910859598).

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

28078264602 is a wasteful number, since it uses less digits than its factorization.

28078264602 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 28078264602 in words is "twenty-eight billion, seventy-eight million, two hundred sixty-four thousand, six hundred two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 241 243 246 369 482 486 723 729 738 1107 1446 1458 1949 2169 2214 3321 3898 4338 5847 6507 6642 9881 9963 11694 13014 17541 19521 19762 19926 29643 29889 35082 39042 52623 58563 59286 59778 79909 88929 105246 117126 157869 159818 175689 177858 239727 266787 315738 351378 469709 473607 479454 533574 719181 800361 939418 947214 1409127 1420821 1438362 1600722 2157543 2401083 2818254 2841642 4227381 4315086 4802166 6472629 7203249 8454762 12682143 12945258 14406498 19258069 19417887 25364286 38046429 38516138 38835774 57774207 58253661 76092858 114139287 115548414 116507322 173322621 228278574 342417861 346645242 519967863 684835722 1039935726 1559903589 3119807178 4679710767 9359421534 14039132301 28078264602