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28000680 = 23351912281
BaseRepresentation
bin110101011010…
…0000110101000
31221200120201020
41222310012220
524132010210
62440052440
7460000431
oct152640650
957616636
1028000680
1114895364
129464120
135a54c66
143a0c488
1526d1770
hex1ab41a8

28000680 has 64 divisors (see below), whose sum is σ = 88430400. Its totient is φ = 7073280.

The previous prime is 28000613. The next prime is 28000691. The reversal of 28000680 is 8600082.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 28000680.

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, 3861 + ... + 8420.

It is an arithmetic number, because the mean of its divisors is an integer number (1381725).

Almost surely, 228000680 is an apocalyptic number.

28000680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28000680 is an abundant number, since it is smaller than the sum of its proper divisors (60429720).

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

28000680 is a wasteful number, since it uses less digits than its factorization.

28000680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12314 (or 12310 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 28000680 is about 5291.5668756995. The cubic root of 28000680 is about 303.6613553587.

It can be divided in two parts, 28000 and 680, that added together give a triangular number (28680 = T239).

The spelling of 28000680 in words is "twenty-eight million, six hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 12281 24562 36843 49124 61405 73686 98248 122810 147372 184215 233339 245620 294744 368430 466678 491240 700017 736860 933356 1166695 1400034 1473720 1866712 2333390 2800068 3500085 4666780 5600136 7000170 9333560 14000340 28000680