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28960080 = 2435671801
BaseRepresentation
bin110111001111…
…0010101010000
32000111022202120
41232132111100
524403210310
62512414240
7501104502
oct156362520
960438676
1028960080
1115390156
129847380
135ccc856
143bbbd72
152820b70
hex1b9e550

28960080 has 80 divisors (see below), whose sum is σ = 91166784. Its totient is φ = 7603200.

The previous prime is 28960031. The next prime is 28960081. The reversal of 28960080 is 8006982.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28960081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15180 + ... + 16980.

Almost surely, 228960080 is an apocalyptic number.

28960080 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 28960080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45583392).

28960080 is an abundant number, since it is smaller than the sum of its proper divisors (62206704).

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

28960080 is a wasteful number, since it uses less digits than its factorization.

28960080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 28960080 is about 5381.4570517658. The cubic root of 28960080 is about 307.0906443992.

The spelling of 28960080 in words is "twenty-eight million, nine hundred sixty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 1801 2010 2680 3216 3602 4020 5360 5403 7204 8040 9005 10806 14408 16080 18010 21612 27015 28816 36020 43224 54030 72040 86448 108060 120667 144080 216120 241334 362001 432240 482668 603335 724002 965336 1206670 1448004 1810005 1930672 2413340 2896008 3620010 4826680 5792016 7240020 9653360 14480040 28960080