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28347408 = 243523317
BaseRepresentation
bin110110000100…
…0110000010000
31222100012100000
41230020300100
524224104113
62451330000
7462643335
oct154106020
958305300
1028347408
1115001911
1295b0900
135b46a1b
143a9c98c
15274e373
hex1b08c10

28347408 has 120 divisors (see below), whose sum is σ = 86119488. Its totient is φ = 9009792.

The previous prime is 28347353. The next prime is 28347409. The reversal of 28347408 is 80474382.

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

It is not an unprimeable number, because it can be changed into a prime (28347409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89266 + ... + 89582.

Almost surely, 228347408 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 28347408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43059744).

28347408 is an abundant number, since it is smaller than the sum of its proper divisors (57772080).

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

28347408 is a wasteful number, since it uses less digits than its factorization.

28347408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 28347408 is about 5324.2283948005. The cubic root of 28347408 is about 304.9096139945.

The spelling of 28347408 in words is "twenty-eight million, three hundred forty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 243 276 317 324 368 414 432 486 552 621 634 648 828 951 972 1104 1242 1268 1296 1656 1863 1902 1944 2484 2536 2853 3312 3726 3804 3888 4968 5072 5589 5706 7291 7452 7608 8559 9936 11178 11412 14582 14904 15216 17118 21873 22356 22824 25677 29164 29808 34236 43746 44712 45648 51354 58328 65619 68472 77031 87492 89424 102708 116656 131238 136944 154062 174984 196857 205416 262476 308124 349968 393714 410832 524952 590571 616248 787428 1049904 1181142 1232496 1574856 1771713 2362284 3149712 3543426 4724568 7086852 9449136 14173704 28347408