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28726560 = 2532519949
BaseRepresentation
bin110110110010…
…1010100100000
32000001110102200
41231211110200
524323222220
62503413200
7466112622
oct155452440
960043380
1028726560
1115240765
129754200
135c4a485
143b5ac12
1527c6890
hex1b65520

28726560 has 72 divisors (see below), whose sum is σ = 98034300. Its totient is φ = 7660032.

The previous prime is 28726543. The next prime is 28726567. The reversal of 28726560 is 6562782.

28726560 is a `hidden beast` number, since 28 + 72 + 6 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26255376 + 2471184 = 5124^2 + 1572^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (28726567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8535 + ... + 11414.

Almost surely, 228726560 is an apocalyptic number.

28726560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28726560 is an abundant number, since it is smaller than the sum of its proper divisors (69307740).

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

28726560 is a wasteful number, since it uses less digits than its factorization.

28726560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19970 (or 19959 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 28726560 is about 5359.7164104083. The cubic root of 28726560 is about 306.2630059727.

The spelling of 28726560 in words is "twenty-eight million, seven hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 19949 39898 59847 79796 99745 119694 159592 179541 199490 239388 299235 319184 359082 398980 478776 598470 638368 718164 797960 897705 957552 1196940 1436328 1595920 1795410 1915104 2393880 2872656 3191840 3590820 4787760 5745312 7181640 9575520 14363280 28726560