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28438080 = 2635112693
BaseRepresentation
bin110110001111…
…0111001000000
31222111210201020
41230132321000
524240004310
62453305440
7463501566
oct154367100
958453636
1028438080
1115063a50
129635280
135b79088
143ac3a36
15276b170
hex1b1ee40

28438080 has 112 divisors (see below), whose sum is σ = 98535744. Its totient is φ = 6891520.

The previous prime is 28438063. The next prime is 28438103. The reversal of 28438080 is 8083482.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9214 + ... + 11906.

Almost surely, 228438080 is an apocalyptic number.

28438080 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 28438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49267872).

28438080 is an abundant number, since it is smaller than the sum of its proper divisors (70097664).

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

28438080 is a wasteful number, since it uses less digits than its factorization.

28438080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 28438080 is about 5332.7366332869. The cubic root of 28438080 is about 305.2343625549.

The spelling of 28438080 in words is "twenty-eight million, four hundred thirty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 2693 3520 5280 5386 8079 10560 10772 13465 16158 21544 26930 29623 32316 40395 43088 53860 59246 64632 80790 86176 88869 107720 118492 129264 148115 161580 172352 177738 215440 236984 258528 296230 323160 355476 430880 444345 473968 517056 592460 646320 710952 861760 888690 947936 1184920 1292640 1421904 1777380 1895872 2369840 2585280 2843808 3554760 4739680 5687616 7109520 9479360 14219040 28438080