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28007460 = 223251311969
BaseRepresentation
bin110101011010…
…1110000100100
31221200221000100
41222311300210
524132214320
62440144100
7460026255
oct152656044
957627010
1028007460
111489a468
129468030
135a58080
143a10b2c
1526d3790
hex1ab5c24

28007460 has 72 divisors (see below), whose sum is σ = 91498680. Its totient is φ = 6893568.

The previous prime is 28007453. The next prime is 28007461. The reversal of 28007460 is 6470082.

It can be written as a sum of positive squares in 4 ways, for example, as 381924 + 27625536 = 618^2 + 5256^2 .

It is not an unprimeable number, because it can be changed into a prime (28007461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3645 + ... + 8324.

It is an arithmetic number, because the mean of its divisors is an integer number (1270815).

Almost surely, 228007460 is an apocalyptic number.

28007460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28007460 is an abundant number, since it is smaller than the sum of its proper divisors (63491220).

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

28007460 is a wasteful number, since it uses less digits than its factorization.

28007460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11997 (or 11992 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 28007460 is about 5292.2074789260. The cubic root of 28007460 is about 303.6858625950.

The spelling of 28007460 in words is "twenty-eight million, seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 11969 23938 35907 47876 59845 71814 107721 119690 143628 155597 179535 215442 239380 311194 359070 430884 466791 538605 622388 718140 777985 933582 1077210 1400373 1555970 1867164 2154420 2333955 2800746 3111940 4667910 5601492 7001865 9335820 14003730 28007460