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28373837382 = 23311591794523
BaseRepresentation
bin11010011011001101…
…100110011001000110
32201020102101021122000
4122123031212121012
5431102200244012
621011301450130
72023062431652
oct323315463106
981212337560
1028373837382
1111040322a90
1255ba410946
1328a24cbbb7
1415324a3a62
15b10eacddc
hex69b366646

28373837382 has 128 divisors (see below), whose sum is σ = 70357248000. Its totient is φ = 8403323040.

The previous prime is 28373837381. The next prime is 28373837389.

28373837382 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×283738373822 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28373837381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6270973 + ... + 6275495.

It is an arithmetic number, because the mean of its divisors is an integer number (549666000).

Almost surely, 228373837382 is an apocalyptic number.

28373837382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28373837382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35178624000).

28373837382 is an abundant number, since it is smaller than the sum of its proper divisors (41983410618).

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

28373837382 is a wasteful number, since it uses less digits than its factorization.

28373837382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4783 (or 4777 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 28373837382 in words is "twenty-eight billion, three hundred seventy-three million, eight hundred thirty-seven thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 99 118 177 179 198 297 354 358 531 537 594 649 1062 1074 1298 1593 1611 1947 1969 3186 3222 3894 3938 4523 4833 5841 5907 9046 9666 10561 11682 11814 13569 17523 17721 21122 27138 31683 35046 35442 40707 49753 53163 63366 81414 95049 99506 106326 116171 122121 149259 190098 232342 244242 266857 285147 298518 348513 447777 533714 570294 697026 800571 809617 895554 1045539 1343331 1601142 1619234 2091078 2401713 2428851 2686662 2935427 3136617 4803426 4857702 5870854 6273234 7205139 7286553 8806281 8905787 14410278 14573106 17612562 17811574 21859659 26418843 26717361 43719318 47767403 52837686 53434722 79256529 80152083 95534806 143302209 158513058 160304166 240456249 286604418 429906627 480912498 525441433 859813254 1050882866 1289719881 1576324299 2579439762 3152648598 4728972897 9457945794 14186918691 28373837382