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28817280 = 273255003
BaseRepresentation
bin110110111101…
…1011110000000
32000020001212200
41231323132000
524334123110
62505353200
7466641252
oct155733600
960201780
1028817280
11152a2938
129798800
135c7c85b
143b81cd2
1527e36c0
hex1b7b780

28817280 has 96 divisors (see below), whose sum is σ = 99529560. Its totient is φ = 7683072.

The previous prime is 28817273. The next prime is 28817287. The reversal of 28817280 is 8271882.

It is an interprime number because it is at equal distance from previous prime (28817273) and next prime (28817287).

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28817287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3259 + ... + 8261.

Almost surely, 228817280 is an apocalyptic number.

28817280 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 28817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49764780).

28817280 is an abundant number, since it is smaller than the sum of its proper divisors (70712280).

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

28817280 is a wasteful number, since it uses less digits than its factorization.

28817280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5028 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 28817280 is about 5368.1728735204. The cubic root of 28817280 is about 306.5850654551.

The spelling of 28817280 in words is "twenty-eight million, eight hundred seventeen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5003 5760 10006 15009 20012 25015 30018 40024 45027 50030 60036 75045 80048 90054 100060 120072 150090 160096 180108 200120 225135 240144 300180 320192 360216 400240 450270 480288 600360 640384 720432 800480 900540 960576 1200720 1440864 1600960 1801080 1921152 2401440 2881728 3201920 3602160 4802880 5763456 7204320 9605760 14408640 28817280