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28540320 = 2535371607
BaseRepresentation
bin110110011011…
…1110110100000
31222200222221220
41230313312200
524301242240
62455415040
7464405634
oct154676640
958628856
1028540320
1115123846
129684480
135bb3783
143b0cdc4
15278b5d0
hex1b37da0

28540320 has 96 divisors (see below), whose sum is σ = 92389248. Its totient is φ = 7400448.

The previous prime is 28540319. The next prime is 28540333. The reversal of 28540320 is 2304582.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16957 + ... + 18563.

It is an arithmetic number, because the mean of its divisors is an integer number (962388).

Almost surely, 228540320 is an apocalyptic number.

28540320 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 28540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46194624).

28540320 is an abundant number, since it is smaller than the sum of its proper divisors (63848928).

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

28540320 is a wasteful number, since it uses less digits than its factorization.

28540320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 28540320 is about 5342.3141053293. The cubic root of 28540320 is about 305.5997158335.

The spelling of 28540320 in words is "twenty-eight million, five hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1607 1776 2220 2960 3214 3552 4440 4821 5920 6428 8035 8880 9642 12856 16070 17760 19284 24105 25712 32140 38568 48210 51424 59459 64280 77136 96420 118918 128560 154272 178377 192840 237836 257120 297295 356754 385680 475672 594590 713508 771360 891885 951344 1189180 1427016 1783770 1902688 2378360 2854032 3567540 4756720 5708064 7135080 9513440 14270160 28540320