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28933740 = 22335114871
BaseRepresentation
bin110111001011…
…1111001101100
32000102222122000
41232113321230
524401334430
62512052300
7500634633
oct156277154
960388560
1028933740
1115372390
129834090
135cc0874
143bb251a
152817e60
hex1b97e6c

28933740 has 96 divisors (see below), whose sum is σ = 98219520. Its totient is φ = 7012800.

The previous prime is 28933733. The next prime is 28933753. The reversal of 28933740 is 4733982.

28933740 is a `hidden beast` number, since 289 + 3 + 374 + 0 = 666.

It is a super-2 number, since 2×289337402 = 1674322620775200, which contains 22 as substring.

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 = 28933695 and 28933704.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3505 + ... + 8375.

It is an arithmetic number, because the mean of its divisors is an integer number (1023120).

Almost surely, 228933740 is an apocalyptic number.

28933740 is a gapful number since it is divisible by the number (20) 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 28933740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49109760).

28933740 is an abundant number, since it is smaller than the sum of its proper divisors (69285780).

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

28933740 is a wasteful number, since it uses less digits than its factorization.

28933740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4900 (or 4892 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 28933740 is about 5379.0092024461. The cubic root of 28933740 is about 306.9975136582.

The spelling of 28933740 in words is "twenty-eight million, nine hundred thirty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 4871 5940 9742 14613 19484 24355 29226 43839 48710 53581 58452 73065 87678 97420 107162 131517 146130 160743 175356 214324 219195 263034 267905 292260 321486 438390 482229 526068 535810 642972 657585 803715 876780 964458 1071620 1315170 1446687 1607430 1928916 2411145 2630340 2893374 3214860 4822290 5786748 7233435 9644580 14466870 28933740