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28328160 = 253578431
BaseRepresentation
bin110110000010…
…0000011100000
31222022012221010
41230010003200
524223000120
62451100520
7462533250
oct154040340
958265833
1028328160
1114a99403
1295a1740
135b3b033
143a95960
1527487e0
hex1b040e0

28328160 has 96 divisors (see below), whose sum is σ = 101993472. Its totient is φ = 6474240.

The previous prime is 28328123. The next prime is 28328173. The reversal of 28328160 is 6182382.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 856 + ... + 7575.

It is an arithmetic number, because the mean of its divisors is an integer number (1062432).

Almost surely, 228328160 is an apocalyptic number.

28328160 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 28328160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50996736).

28328160 is an abundant number, since it is smaller than the sum of its proper divisors (73665312).

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

28328160 is a wasteful number, since it uses less digits than its factorization.

28328160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8456 (or 8448 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 28328160 is about 5322.4205019897. The cubic root of 28328160 is about 304.8405867654.

The spelling of 28328160 in words is "twenty-eight million, three hundred twenty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 8431 16862 25293 33724 42155 50586 59017 67448 84310 101172 118034 126465 134896 168620 177051 202344 236068 252930 269792 295085 337240 354102 404688 472136 505860 590170 674480 708204 809376 885255 944272 1011720 1180340 1348960 1416408 1770510 1888544 2023440 2360680 2832816 3541020 4046880 4721360 5665632 7082040 9442720 14164080 28328160