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28732480 = 2657101127
BaseRepresentation
bin110110110011…
…0110001000000
32000001202112221
41231212301000
524323414410
62503500424
7466136110
oct155466100
960052487
1028732480
1115245157
129757714
135c5008a
143b5d040
1527c84da
hex1b66c40

28732480 has 112 divisors (see below), whose sum is σ = 79589376. Its totient is φ = 9676800.

The previous prime is 28732477. The next prime is 28732507. The reversal of 28732480 is 8423782.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 226177 + ... + 226303.

Almost surely, 228732480 is an apocalyptic number.

28732480 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 28732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39794688).

28732480 is an abundant number, since it is smaller than the sum of its proper divisors (50856896).

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

28732480 is a wasteful number, since it uses less digits than its factorization.

28732480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 28732480 is about 5360.2686499839. The cubic root of 28732480 is about 306.2840428629.

The spelling of 28732480 in words is "twenty-eight million, seven hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 101 112 127 140 160 202 224 254 280 320 404 448 505 508 560 635 707 808 889 1010 1016 1120 1270 1414 1616 1778 2020 2032 2240 2540 2828 3232 3535 3556 4040 4064 4445 5080 5656 6464 7070 7112 8080 8128 8890 10160 11312 12827 14140 14224 16160 17780 20320 22624 25654 28280 28448 32320 35560 40640 45248 51308 56560 56896 64135 71120 89789 102616 113120 128270 142240 179578 205232 226240 256540 284480 359156 410464 448945 513080 718312 820928 897890 1026160 1436624 1795780 2052320 2873248 3591560 4104640 5746496 7183120 14366240 28732480