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28340880 = 2435263449
BaseRepresentation
bin110110000011…
…1001010010000
31222022212101020
41230013022100
524223402010
62451235440
7462615321
oct154071220
958285336
1028340880
1114aa7a17
1295a8b80
135b43a69
143a9a448
15274c470
hex1b07290

28340880 has 80 divisors (see below), whose sum is σ = 88387200. Its totient is φ = 7512064.

The previous prime is 28340861. The next prime is 28340911. The reversal of 28340880 is 8804382.

It is a tau number, because it is divible by the number of its divisors (80).

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, 62896 + ... + 63344.

It is an arithmetic number, because the mean of its divisors is an integer number (1104840).

Almost surely, 228340880 is an apocalyptic number.

28340880 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 28340880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44193600).

28340880 is an abundant number, since it is smaller than the sum of its proper divisors (60046320).

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

28340880 is a wasteful number, since it uses less digits than its factorization.

28340880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 28340880 is about 5323.6153129241. The cubic root of 28340880 is about 304.8862067660.

The spelling of 28340880 in words is "twenty-eight million, three hundred forty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 263 449 526 789 898 1052 1315 1347 1578 1796 2104 2245 2630 2694 3156 3592 3945 4208 4490 5260 5388 6312 6735 7184 7890 8980 10520 10776 12624 13470 15780 17960 21040 21552 26940 31560 35920 53880 63120 107760 118087 236174 354261 472348 590435 708522 944696 1180870 1417044 1771305 1889392 2361740 2834088 3542610 4723480 5668176 7085220 9446960 14170440 28340880