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28780560 = 2432571563
BaseRepresentation
bin110110111001…
…0100000010000
32000011012111200
41231302200100
524331434220
62504511200
7466426224
oct155624020
960135450
1028780560
1115278296
12977b500
135c68c23
143b72784
1527d7890
hex1b72810

28780560 has 120 divisors (see below), whose sum is σ = 98190144. Its totient is φ = 7553280.

The previous prime is 28780559. The next prime is 28780571. The reversal of 28780560 is 6508782.

28780560 is a `hidden beast` number, since 28 + 78 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50839 + ... + 51401.

Almost surely, 228780560 is an apocalyptic number.

28780560 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 28780560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49095072).

28780560 is an abundant number, since it is smaller than the sum of its proper divisors (69409584).

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

28780560 is a wasteful number, since it uses less digits than its factorization.

28780560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 28780560 is about 5364.7516251920. The cubic root of 28780560 is about 306.4547895849.

The spelling of 28780560 in words is "twenty-eight million, seven hundred eighty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 71 72 80 90 120 142 144 180 213 240 284 355 360 426 563 568 639 710 720 852 1065 1126 1136 1278 1420 1689 1704 2130 2252 2556 2815 2840 3195 3378 3408 4260 4504 5067 5112 5630 5680 6390 6756 8445 8520 9008 10134 10224 11260 12780 13512 16890 17040 20268 22520 25335 25560 27024 33780 39973 40536 45040 50670 51120 67560 79946 81072 101340 119919 135120 159892 199865 202680 239838 319784 359757 399730 405360 479676 599595 639568 719514 799460 959352 1199190 1439028 1598920 1798785 1918704 2398380 2878056 3197840 3597570 4796760 5756112 7195140 9593520 14390280 28780560