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28608030 = 23251123771
BaseRepresentation
bin110110100100…
…0011000011110
31222211102211200
41231020120132
524310424110
62501100330
7465110223
oct155103036
958742750
1028608030
111516a700
1296b76a6
135c08539
143b2994a
1527a16c0
hex1b4861e

28608030 has 144 divisors (see below), whose sum is σ = 85149792. Its totient is φ = 6652800.

The previous prime is 28608023. The next prime is 28608049. The reversal of 28608030 is 3080682.

28608030 is a `hidden beast` number, since 28 + 608 + 0 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28607985 and 28608003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 402895 + ... + 402965.

It is an arithmetic number, because the mean of its divisors is an integer number (591318).

Almost surely, 228608030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28608030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42574896).

28608030 is an abundant number, since it is smaller than the sum of its proper divisors (56541762).

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

28608030 is a wasteful number, since it uses less digits than its factorization.

28608030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 28608030 is about 5348.6474925910. The cubic root of 28608030 is about 305.8411965960.

The spelling of 28608030 in words is "twenty-eight million, six hundred eight thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 71 74 90 99 110 111 121 142 165 185 198 213 222 242 330 333 355 363 370 407 426 495 555 605 639 666 710 726 781 814 990 1065 1089 1110 1210 1221 1278 1562 1665 1815 2035 2130 2178 2343 2442 2627 3195 3330 3630 3663 3905 4070 4477 4686 5254 5445 6105 6390 7029 7326 7810 7881 8591 8954 10890 11715 12210 13135 13431 14058 15762 17182 18315 22385 23430 23643 25773 26270 26862 28897 35145 36630 39405 40293 42955 44770 47286 51546 57794 67155 70290 77319 78810 80586 85910 86691 118215 128865 134310 144485 154638 173382 201465 236430 257730 260073 288970 317867 386595 402930 433455 520146 635734 773190 866910 953601 1300365 1589335 1907202 2600730 2860803 3178670 4768005 5721606 9536010 14304015 28608030