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28284940 = 22517233617
BaseRepresentation
bin110101111100…
…1100000001100
31222020000122101
41223321200030
524220104230
62450124444
7462263245
oct153714014
958200571
1028284940
1114a69992
129580724
135b24468
143a83ccc
15273aaca
hex1af980c

28284940 has 48 divisors (see below), whose sum is σ = 65644992. Its totient is φ = 10182656.

The previous prime is 28284931. The next prime is 28284953. The reversal of 28284940 is 4948282.

It is a super-3 number, since 3×282849403 (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 28284940.

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, 6012 + ... + 9628.

It is an arithmetic number, because the mean of its divisors is an integer number (1367604).

Almost surely, 228284940 is an apocalyptic number.

28284940 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 28284940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32822496).

28284940 is an abundant number, since it is smaller than the sum of its proper divisors (37360052).

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

28284940 is a wasteful number, since it uses less digits than its factorization.

28284940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 28284940 is about 5318.3587693949. The cubic root of 28284940 is about 304.6854770762.

The spelling of 28284940 in words is "twenty-eight million, two hundred eighty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1955 3617 3910 7234 7820 14468 18085 36170 61489 72340 83191 122978 166382 245956 307445 332764 415955 614890 831910 1229780 1414247 1663820 2828494 5656988 7071235 14142470 28284940