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28184772 = 22371124759
BaseRepresentation
bin110101110000…
…1000011000100
31222000221020110
41223201003010
524203403042
62444033020
7461365230
oct153410304
958027213
1028184772
1114a00700
129532770
135aba9a5
143a595c0
15271b09c
hex1ae10c4

28184772 has 144 divisors (see below), whose sum is σ = 85800960. Its totient is φ = 7043520.

The previous prime is 28184743. The next prime is 28184773. The reversal of 28184772 is 27748182.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 28184772.

It is not an unprimeable number, because it can be changed into a prime (28184773) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477679 + ... + 477737.

It is an arithmetic number, because the mean of its divisors is an integer number (595840).

Almost surely, 228184772 is an apocalyptic number.

28184772 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 28184772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42900480).

28184772 is an abundant number, since it is smaller than the sum of its proper divisors (57616188).

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

28184772 is a wasteful number, since it uses less digits than its factorization.

28184772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 129 counting only the distinct ones).

The product of its digits is 50176, while the sum is 39.

The square root of 28184772 is about 5308.9332261764. The cubic root of 28184772 is about 304.3253816409.

The spelling of 28184772 in words is "twenty-eight million, one hundred eighty-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 47 59 66 77 84 94 118 121 132 141 154 177 188 231 236 242 282 308 329 354 363 413 462 484 517 564 649 658 708 726 826 847 924 987 1034 1239 1298 1316 1452 1551 1652 1694 1947 1974 2068 2478 2541 2596 2773 3102 3388 3619 3894 3948 4543 4956 5082 5546 5687 6204 7139 7238 7788 8319 9086 10164 10857 11092 11374 13629 14278 14476 16638 17061 18172 19411 21417 21714 22748 27258 28556 30503 33276 34122 38822 39809 42834 43428 49973 54516 58233 61006 68244 77644 79618 85668 91509 99946 116466 119427 122012 149919 159236 183018 199892 213521 232932 238854 299838 335533 366036 427042 477708 599676 640563 671066 854084 1006599 1281126 1342132 2013198 2348731 2562252 4026396 4697462 7046193 9394924 14092386 28184772