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28893984 = 2537193173
BaseRepresentation
bin110111000111…
…0001100100000
32000100222002120
41232032030200
524344101414
62511144240
7500411010
oct156161440
960328076
1028893984
1115345529
129815080
135ca8742
143ba1c40
15280b2a9
hex1b8e320

28893984 has 192 divisors, whose sum is σ = 95477760. Its totient is φ = 7464960.

The previous prime is 28893973. The next prime is 28893989. The reversal of 28893984 is 48939882.

It is a happy number.

It is a super-2 number, since 2×288939842 = 1669724622784512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28893989) 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, 395772 + ... + 395844.

It is an arithmetic number, because the mean of its divisors is an integer number (497280).

Almost surely, 228893984 is an apocalyptic number.

28893984 is a gapful number since it is divisible by the number (24) 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 28893984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47738880).

28893984 is an abundant number, since it is smaller than the sum of its proper divisors (66583776).

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

28893984 is a wasteful number, since it uses less digits than its factorization.

28893984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 135 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The square root of 28893984 is about 5375.3124560345. The cubic root of 28893984 is about 306.8568406647.

The spelling of 28893984 in words is "twenty-eight million, eight hundred ninety-three thousand, nine hundred eighty-four".