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2888028 = 22331121317
BaseRepresentation
bin1011000001000101011100
312102201122000
423001011130
51214404103
6141522300
733355623
oct13010534
95381560
102888028
1116a2900
12b73390
137a16c0
145526ba
153c0aa3
hex2c115c

2888028 has 144 divisors (see below), whose sum is σ = 9384480. Its totient is φ = 760320.

The previous prime is 2888027. The next prime is 2888029. The reversal of 2888028 is 8208882.

It is an interprime number because it is at equal distance from previous prime (2888027) and next prime (2888029).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2887983 and 2888001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2888021) 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, 169876 + ... + 169892.

It is an arithmetic number, because the mean of its divisors is an integer number (65170).

22888028 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 2888028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692240).

2888028 is an abundant number, since it is smaller than the sum of its proper divisors (6496452).

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

2888028 is a wasteful number, since it uses less digits than its factorization.

2888028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 2888028 is about 1699.4199010251. The cubic root of 2888028 is about 142.4078074034.

The spelling of 2888028 in words is "two million, eight hundred eighty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 17 18 22 26 27 33 34 36 39 44 51 52 54 66 68 78 99 102 108 117 121 132 143 153 156 187 198 204 221 234 242 286 297 306 351 363 374 396 429 442 459 468 484 561 572 594 612 663 702 726 748 858 884 918 1089 1122 1188 1287 1326 1404 1452 1573 1683 1716 1836 1989 2057 2178 2244 2431 2574 2652 3146 3267 3366 3861 3978 4114 4356 4719 4862 5049 5148 5967 6171 6292 6534 6732 7293 7722 7956 8228 9438 9724 10098 11934 12342 13068 14157 14586 15444 18513 18876 20196 21879 23868 24684 26741 28314 29172 37026 42471 43758 53482 55539 56628 65637 74052 80223 84942 87516 106964 111078 131274 160446 169884 222156 240669 262548 320892 481338 722007 962676 1444014 2888028