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28541640 = 2335172823
BaseRepresentation
bin110110011100…
…0001011001000
31222201001202210
41230320023020
524301313030
62455425120
7464412531
oct154701310
958631683
1028541640
1115124836
1296851a0
135bb425a
143b0d688
15278bbb0
hex1b382c8

28541640 has 96 divisors (see below), whose sum is σ = 91068480. Its totient is φ = 7154688.

The previous prime is 28541627. The next prime is 28541647. The reversal of 28541640 is 4614582.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 28541598 and 28541607.

It is not an unprimeable number, because it can be changed into a prime (28541647) 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 23 ways as a sum of consecutive naturals, for example, 34269 + ... + 35091.

It is an arithmetic number, because the mean of its divisors is an integer number (948630).

Almost surely, 228541640 is an apocalyptic number.

28541640 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 28541640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45534240).

28541640 is an abundant number, since it is smaller than the sum of its proper divisors (62526840).

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

28541640 is a wasteful number, since it uses less digits than its factorization.

28541640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 28541640 is about 5342.4376458692. The cubic root of 28541640 is about 305.6044271263.

The spelling of 28541640 in words is "twenty-eight million, five hundred forty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 289 340 408 510 578 680 823 867 1020 1156 1445 1646 1734 2040 2312 2469 2890 3292 3468 4115 4335 4938 5780 6584 6936 8230 8670 9876 11560 12345 13991 16460 17340 19752 24690 27982 32920 34680 41973 49380 55964 69955 83946 98760 111928 139910 167892 209865 237847 279820 335784 419730 475694 559640 713541 839460 951388 1189235 1427082 1678920 1902776 2378470 2854164 3567705 4756940 5708328 7135410 9513880 14270820 28541640