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28796320 = 255723673
BaseRepresentation
bin110110111011…
…0010110100000
32000012000010101
41231312112200
524332440240
62505112144
7466523200
oct155662640
960160111
1028796320
1115289113
129788654
135c73157
143b78400
1527dc39a
hex1b765a0

28796320 has 72 divisors (see below), whose sum is σ = 79160004. Its totient is φ = 9870336.

The previous prime is 28796297. The next prime is 28796321. The reversal of 28796320 is 2369782.

It can be written as a sum of positive squares in 2 ways, for example, as 25684624 + 3111696 = 5068^2 + 1764^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 28796320.

It is not an unprimeable number, because it can be changed into a prime (28796321) 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 11 ways as a sum of consecutive naturals, for example, 6004 + ... + 9676.

Almost surely, 228796320 is an apocalyptic number.

28796320 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 28796320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39580002).

28796320 is an abundant number, since it is smaller than the sum of its proper divisors (50363684).

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

28796320 is a wasteful number, since it uses less digits than its factorization.

28796320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 28796320 is about 5366.2202712897. The cubic root of 28796320 is about 306.5107167591.

The spelling of 28796320 in words is "twenty-eight million, seven hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3673 3920 7346 7840 14692 18365 25711 29384 36730 51422 58768 73460 102844 117536 128555 146920 179977 205688 257110 293840 359954 411376 514220 587680 719908 822752 899885 1028440 1439816 1799770 2056880 2879632 3599540 4113760 5759264 7199080 14398160 28796320