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28988374932 = 2235113318191
BaseRepresentation
bin11010111111110101…
…110111111110010100
32202211020202000200000
4122333311313332110
5433332010444212
621152253251300
72044234056426
oct327765677624
982736660600
1028988374932
1111326200160
125750193b30
13296c91779a
14158dd52816
15b49ded1dc
hex6bfd77f94

28988374932 has 144 divisors (see below), whose sum is σ = 83158892544. Its totient is φ = 8756748000.

The previous prime is 28988374889. The next prime is 28988374981. The reversal of 28988374932 is 23947388982.

28988374932 is a `hidden beast` number, since 28 + 98 + 8 + 37 + 493 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28988374932.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3534957 + ... + 3543147.

Almost surely, 228988374932 is an apocalyptic number.

28988374932 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28988374932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41579446272).

28988374932 is an abundant number, since it is smaller than the sum of its proper divisors (54170517612).

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

28988374932 is a wasteful number, since it uses less digits than its factorization.

28988374932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8552 (or 8538 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 28988374932 in words is "twenty-eight billion, nine hundred eighty-eight million, three hundred seventy-four thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 331 396 486 594 662 891 972 993 1188 1324 1782 1986 2673 2979 3564 3641 3972 5346 5958 7282 8191 8937 10692 10923 11916 14564 16382 17874 21846 24573 26811 32764 32769 35748 43692 49146 53622 65538 73719 80433 90101 98292 98307 107244 131076 147438 160866 180202 196614 221157 270303 294876 294921 321732 360404 393228 442314 540606 589842 663471 810909 884628 884763 1081212 1179684 1326942 1621818 1769526 1990413 2432727 2653884 2711221 3243636 3539052 3980826 4865454 5422442 7298181 7961652 8133663 9730908 10844884 14596362 16267326 21894543 24400989 29192724 29823431 32534652 43789086 48801978 59646862 73202967 87578172 89470293 97603956 119293724 146405934 178940586 219608901 268410879 292811868 357881172 439217802 536821758 658826703 805232637 878435604 1073643516 1317653406 1610465274 2415697911 2635306812 3220930548 4831395822 7247093733 9662791644 14494187466 28988374932