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28855008 = 2533713367
BaseRepresentation
bin110111000010…
…0101011100000
32000021222122000
41232010223200
524341330013
62510244000
7500156250
oct156045340
960258560
1028855008
1115319216
1297b6600
135c93a90
143b91960
1527ee973
hex1b84ae0

28855008 has 192 divisors, whose sum is σ = 103864320. Its totient is φ = 7589376.

The previous prime is 28855007. The next prime is 28855027. The reversal of 28855008 is 80055882.

It is a super-3 number, since 3×288550083 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28855007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78441 + ... + 78807.

It is an arithmetic number, because the mean of its divisors is an integer number (540960).

Almost surely, 228855008 is an apocalyptic number.

28855008 is a gapful number since it is divisible by the number (28) 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 28855008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51932160).

28855008 is an abundant number, since it is smaller than the sum of its proper divisors (75009312).

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

28855008 is a wasteful number, since it uses less digits than its factorization.

28855008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 28855008 is about 5371.6857689184. The cubic root of 28855008 is about 306.7188023102.

The spelling of 28855008 in words is "twenty-eight million, eight hundred fifty-five thousand, eight".