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28906920 = 23325711471
BaseRepresentation
bin110111001000…
…1010110101000
32000101121211200
41232101112220
524400010140
62511324200
7500463510
oct156212650
960347750
1028906920
1115354219
129820660
135cb15b3
143ba6840
152810030
hex1b915a8

28906920 has 96 divisors (see below), whose sum is σ = 107377920. Its totient is φ = 6606720.

The previous prime is 28906901. The next prime is 28906951. The reversal of 28906920 is 2960982.

It is a super-2 number, since 2×289069202 = 1671220047772800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3216 + ... + 8255.

It is an arithmetic number, because the mean of its divisors is an integer number (1118520).

Almost surely, 228906920 is an apocalyptic number.

28906920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28906920 is an abundant number, since it is smaller than the sum of its proper divisors (78471000).

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

28906920 is a wasteful number, since it uses less digits than its factorization.

28906920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11495 (or 11488 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 28906920 is about 5376.5156002750. The cubic root of 28906920 is about 306.9026276798.

The spelling of 28906920 in words is "twenty-eight million, nine hundred six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 11471 22942 34413 45884 57355 68826 80297 91768 103239 114710 137652 160594 172065 206478 229420 240891 275304 321188 344130 401485 412956 458840 481782 516195 642376 688260 722673 802970 825912 963564 1032390 1204455 1376520 1445346 1605940 1927128 2064780 2408910 2890692 3211880 3613365 4129560 4817820 5781384 7226730 9635640 14453460 28906920