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28868832 = 253333413
BaseRepresentation
bin110111000100…
…0000011100000
32000022200121000
41232020003200
524342300312
62510432000
7500244456
oct156100340
960280530
1028868832
1115328643
129802600
135c9a165
143b969d6
152803adc
hex1b880e0

28868832 has 48 divisors (see below), whose sum is σ = 84203280. Its totient is φ = 9622656.

The previous prime is 28868831. The next prime is 28868837. The reversal of 28868832 is 23886882.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×288688322 = 1666818922088448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28868831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15843 + ... + 17570.

It is an arithmetic number, because the mean of its divisors is an integer number (1754235).

Almost surely, 228868832 is an apocalyptic number.

It is an amenable number.

28868832 is an abundant number, since it is smaller than the sum of its proper divisors (55334448).

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

28868832 is a wasteful number, since it uses less digits than its factorization.

28868832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33432 (or 33418 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 28868832 is about 5372.9723617380. The cubic root of 28868832 is about 306.7677759440.

The spelling of 28868832 in words is "twenty-eight million, eight hundred sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 33413 66826 100239 133652 200478 267304 300717 400956 534608 601434 801912 902151 1069216 1202868 1603824 1804302 2405736 3207648 3608604 4811472 7217208 9622944 14434416 28868832