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28624068 = 22321141243
BaseRepresentation
bin110110100110…
…0010011000100
31222212020211200
41231030103010
524311432233
62501302500
7465205044
oct155142304
958766750
1028624068
1115180760
129704a30
135c12925
143b31724
1527a6313
hex1b4c4c4

28624068 has 108 divisors (see below), whose sum is σ = 82786704. Its totient is φ = 8265600.

The previous prime is 28624033. The next prime is 28624087. The reversal of 28624068 is 86042682.

28624068 is a `hidden beast` number, since 28 + 624 + 0 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 665655 + ... + 665697.

Almost surely, 228624068 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 28624068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41393352).

28624068 is an abundant number, since it is smaller than the sum of its proper divisors (54162636).

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

28624068 is a wasteful number, since it uses less digits than its factorization.

28624068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 28624068 is about 5350.1465400492. The cubic root of 28624068 is about 305.8983386500.

The spelling of 28624068 in words is "twenty-eight million, six hundred twenty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 43 44 66 82 86 99 123 129 132 164 172 198 246 258 369 387 396 451 473 492 516 738 774 902 946 1353 1419 1476 1548 1681 1763 1804 1892 2706 2838 3362 3526 4059 4257 5043 5289 5412 5676 6724 7052 8118 8514 10086 10578 15129 15867 16236 17028 18491 19393 20172 21156 30258 31734 36982 38786 55473 58179 60516 63468 72283 73964 77572 110946 116358 144566 166419 174537 216849 221892 232716 289132 332838 349074 433698 650547 665676 698148 795113 867396 1301094 1590226 2385339 2602188 3180452 4770678 7156017 9541356 14312034 28624068