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28806640 = 245615903
BaseRepresentation
bin110110111100…
…0110111110000
32000012112021121
41231320313300
524333303030
62505232024
7466565242
oct155706760
960175247
1028806640
1115295945
129792614
135c77a65
143b7c092
1527e047a
hex1b78df0

28806640 has 40 divisors (see below), whose sum is σ = 68084928. Its totient is φ = 11331840.

The previous prime is 28806623. The next prime is 28806667. The reversal of 28806640 is 4660882.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 28806596 and 28806605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1929 + ... + 7831.

Almost surely, 228806640 is an apocalyptic number.

28806640 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 28806640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34042464).

28806640 is an abundant number, since it is smaller than the sum of its proper divisors (39278288).

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

28806640 is a wasteful number, since it uses less digits than its factorization.

28806640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5977 (or 5971 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 28806640 is about 5367.1817558193. The cubic root of 28806640 is about 306.5473280668.

The spelling of 28806640 in words is "twenty-eight million, eight hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 5903 11806 23612 29515 47224 59030 94448 118060 236120 360083 472240 720166 1440332 1800415 2880664 3600830 5761328 7201660 14403320 28806640